The document contains 98 multiple choice questions related to mathematics topics like sets, relations, functions, coordinate geometry, and algebra. Specifically, it tests knowledge of concepts like elements and subsets of sets, Cartesian coordinate planes, linear and quadratic equations, and their solution sets. It also includes questions about arithmetic and geometric sequences, factorials, and trigonometric functions.
This document contains 26 multiple choice questions about quadratic equations. The questions cover a range of topics including finding the roots of quadratic equations, determining the nature of the roots based on coefficients, and other properties of quadratic equations. Sample answers are provided but no full solutions are shown.
The document contains examples and exercises on quadratic expressions and equations. It includes expanding expressions, factorizing expressions, solving quadratic equations, and word problems involving quadratic equations. The exercises cover a range of skills related to quadratic expressions and equations.
This document discusses quadratic equations and functions. It explains how to solve quadratic equations by factoring, completing the square, and using the quadratic formula. It also discusses using the discriminant to determine the number and type of roots. Properties of quadratic functions such as the sum and product of roots are covered. Methods for constructing quadratic equations and functions given certain properties are provided. Finally, it briefly discusses sketching the graph of a quadratic function.
Peperiksaan pertengahan tahun t4 2012 (2)normalamahadi
This document contains 12 mathematics questions testing skills such as solving simultaneous linear equations, quadratic equations, calculating areas and perimeters of shapes, set theory, and logical reasoning. The questions cover topics like functions, sequences, proportions, geometry, and Venn diagrams. Students are required to show their work and provide answers for full marks.
This document discusses linear equations and curve fitting. It provides 18 examples of using a linear system to solve for the coefficients of linear, quadratic, and cubic polynomials that fit given data points. It also provides examples of using a linear system to solve for the coefficients of circle and central conic equations that fit given points. The linear systems are set up and solved, providing the resulting equations that fit the data in each example.
(Www.entrance exam.net)-sail placement sample paper 5SAMEER NAIK
This document provides a 75 question multiple choice test paper with questions ranging in topics from algebra, trigonometry, geometry, and calculus. The test is allotted 90 minutes and covers concepts such as functions, equations, properties of circles, ellipses, parabolas, and hyperbolas, trigonometric identities, and geometric shapes. Several questions involve finding lengths, areas, angles between lines, points of intersection, tangents, and properties of conic sections.
This document contains a 75 question test paper covering topics in mathematics including algebra, trigonometry, coordinate geometry, and calculus. The test has 90 minutes allotted and covers topics such as functions, quadratic equations, trigonometric identities, binomial coefficients, and geometric concepts like angles, triangles, and coordinate planes.
Salah satu materi perkuliahan prodi pendidikan matematika mata kuliah teori himpunan dan logika matematika - Diagram Venn, Contoh Soal mengenai Diagram Venn
This document contains 26 multiple choice questions about quadratic equations. The questions cover a range of topics including finding the roots of quadratic equations, determining the nature of the roots based on coefficients, and other properties of quadratic equations. Sample answers are provided but no full solutions are shown.
The document contains examples and exercises on quadratic expressions and equations. It includes expanding expressions, factorizing expressions, solving quadratic equations, and word problems involving quadratic equations. The exercises cover a range of skills related to quadratic expressions and equations.
This document discusses quadratic equations and functions. It explains how to solve quadratic equations by factoring, completing the square, and using the quadratic formula. It also discusses using the discriminant to determine the number and type of roots. Properties of quadratic functions such as the sum and product of roots are covered. Methods for constructing quadratic equations and functions given certain properties are provided. Finally, it briefly discusses sketching the graph of a quadratic function.
Peperiksaan pertengahan tahun t4 2012 (2)normalamahadi
This document contains 12 mathematics questions testing skills such as solving simultaneous linear equations, quadratic equations, calculating areas and perimeters of shapes, set theory, and logical reasoning. The questions cover topics like functions, sequences, proportions, geometry, and Venn diagrams. Students are required to show their work and provide answers for full marks.
This document discusses linear equations and curve fitting. It provides 18 examples of using a linear system to solve for the coefficients of linear, quadratic, and cubic polynomials that fit given data points. It also provides examples of using a linear system to solve for the coefficients of circle and central conic equations that fit given points. The linear systems are set up and solved, providing the resulting equations that fit the data in each example.
(Www.entrance exam.net)-sail placement sample paper 5SAMEER NAIK
This document provides a 75 question multiple choice test paper with questions ranging in topics from algebra, trigonometry, geometry, and calculus. The test is allotted 90 minutes and covers concepts such as functions, equations, properties of circles, ellipses, parabolas, and hyperbolas, trigonometric identities, and geometric shapes. Several questions involve finding lengths, areas, angles between lines, points of intersection, tangents, and properties of conic sections.
This document contains a 75 question test paper covering topics in mathematics including algebra, trigonometry, coordinate geometry, and calculus. The test has 90 minutes allotted and covers topics such as functions, quadratic equations, trigonometric identities, binomial coefficients, and geometric concepts like angles, triangles, and coordinate planes.
Salah satu materi perkuliahan prodi pendidikan matematika mata kuliah teori himpunan dan logika matematika - Diagram Venn, Contoh Soal mengenai Diagram Venn
Additional Mathematics form 4 (formula)Fatini Adnan
This document provides a summary of various math formulae for Form 4 students in Malaysia, including:
1. Functions, quadratic equations, and quadratic functions
2. Simultaneous equations, indices and logarithms, and coordinate geometry
3. Statistics, circular measures, and differentiation
It lists common formulae for topics like the quadratic formula, completing the square, differentiation rules, and measures of central tendency and dispersion. The document is intended as a study guide for students to review essential formulae.
This document is a 50 question practice test for the SAT Mathematics Level 2 exam. It provides 1 hour (60 minutes) to complete the test. The test contains multiple choice questions covering a variety of math topics, including geometry, trigonometry, algebra, statistics, and other concepts. Answers are selected from 5 possible choices labeled A through E.
This document discusses quadratic functions and their graphs. It begins by defining the general form of a quadratic function as f(x) = ax2 + bx + c, where a ≠ 0. It then explains how to identify the shape of a quadratic graph based on the sign of a, whether it is positive or negative. Examples are provided to show how to sketch graphs, find maximum and minimum values, axes of symmetry, and zeros. The document also covers using the discriminant to determine the number and type of roots, and completing the square to find the vertex of a quadratic function.
The document is the cover page of a mathematics question paper containing instructions and details about the exam. It states that the exam is for 2 1/2 hours with a maximum of 100 marks. The paper contains four sections. It instructs students to check for fairness of printing and inform the supervisor if any issues are found.
1. The radius of curvature at a point on a curve is defined as the reciprocal of the curvature at that point. It represents the radius of the circle that best approximates the curve near that point.
2. For the circle x^2 + y^2 = 25, the radius of curvature at any point is equal to the radius of the circle, which is 25.
3. For the curve xy = c^2, the radius of curvature at the point (c, c) is c.
The document contains 13 math problems involving functions. The problems cover topics such as:
- Finding the image and object of elements under a given function
- Finding inverse functions
- Determining the type of relation between sets
- Evaluating composite functions
- Solving for unknown constants in function definitions
- Finding the value of x when a composite function equals a given value
The document provides the problems and blank spaces for the answers. The answers section gives the solutions to each of the 13 problems.
The document contains the details of a mathematics exam paper consisting of 4 questions. Question 1 has 10 sub-parts asking students to attempt various calculus, multivariable calculus and vector calculus problems. Question 2 and 3 have 3 sub-parts each asking students to attempt 2 out of 3 problems involving limits, derivatives and integrals. Question 4 has 2 sub-parts involving further calculus problems. The document provides instructions to students regarding compulsory questions and marking schemes. It also mentions the exam code, subject and pattern.
This document contains solutions to exercises on conic sections (hyperbolas, ellipses, circles, and parabolas) from a geometry guide.
The solutions include finding the center, vertices, foci, and eccentricity of various hyperbolas and ellipses given in standard form. One example given is a circle, for which the center and radius are identified. Another example is completed by rewriting the equation in canonical form.
The purpose is to understand these geometry topics for future professional careers by solving the guide's problems and verifying answers using GeoGebra.
The document discusses expanding and factorizing algebraic expressions. It provides examples of expanding expressions using the distributive property, such as expanding (a + b)(c + d) to get ac + ad + bc + bd. It also discusses factorizing expressions by finding common factors, such as factorizing a2 + 2ab + b2 to get (a + b)2. Tips and techniques are presented for expanding, factorizing, finding common factors, and using the distributive property to manipulate algebraic expressions.
The document contains a mathematics exam with three groups of questions testing different concepts:
Group A contains 10 multiple choice questions covering domains of functions, trigonometric functions, derivatives, integrals, determinants, and properties related to maxima and minima of functions.
Group B contains another 10 multiple choice questions testing concepts like distance between parallel lines, matrix operations, complex numbers, solving equations, properties of concurrent lines, integrals involving logarithms, and solving inequalities.
Group C contains 2 problems to be solved in detail, the first finding the length of a perpendicular from a point to a line, and the second evaluating a definite integral.
This document contains 5 questions regarding a mathematics exam. It covers topics like algebra, geometry, calculus, differential equations, and matrices. Some key details:
- The exam has 5 questions worth a total of 80 marks.
- Question 1 has 8 short answer parts worth 16 marks total.
- Questions 2-4 have 4 medium length parts each worth 16 marks total.
- Question 5 has 2 long answer parts worth 16 marks total.
- The questions cover topics such as finding GCDs, eigenvalues, limits, differential equations, and geometry concepts.
This document contains 25 multiple choice questions related to mathematics topics like quadratic equations, arithmetic progressions, geometric progressions, and averages. It tests concepts such as identifying the nature of roots of quadratic equations, finding terms in sequences, determining common differences and ratios, and calculating averages. The questions are from various areas of algebra and progressions for a school exam.
IIT JAM MATH 2018 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2018 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
Call - 9836793076
This document contains a 30 question objective test on various mathematics topics. The questions cover topics like trigonometry, algebra, relations, functions, polynomials, and integers. Test takers have 60 minutes to complete the 30 questions online. The questions require calculating values, identifying true statements, finding remainders, and factoring polynomials.
B.Sc (Pass) Nautical & Engineering Model Question 2 Mathematics Second Paper
(Differential Calculus, Integral Calculus, Two-dimensional & Three- dimensional Geometry)
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________AbbyWhyte974
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
The document provides definitions and formulas related to algebra concepts including sets, numbers, complex numbers, factoring, products, and algebraic equations. It defines types of sets and operations on sets like union, intersection, complement and difference. It also defines types of numbers like natural numbers, integers, rational numbers, irrational numbers, real numbers and complex numbers. Formulas are given for addition, subtraction, multiplication and division of complex numbers. Other formulas presented include factoring formulas, product formulas, formulas for solving quadratic, cubic and quartic equations.
Math 2318 - Test 3In this test we will try something differe.docxandreecapon
Math 2318 - Test 3
In this test we will try something different. The answers are provided, your job is to show the work in how to get that
solution. On problem 1 only A is a vector space. You will show why it is a vector space but you will also show why B
and C are not vector spaces. On question 2 only V is a vector space. You will show why it is a vector space and you
will also show why W and U are not vector spaces.
Solve the problem.
1) Determine which of the following sets is a subspace of Pn for an appropriate value of n.
A: All polynomials of the form p(t) = a + bt2, where a and b are in ℛ
B: All polynomials of degree exactly 4, with real coefficients
C: All polynomials of degree at most 4, with positive coefficients
A) A and B B) C only C) A only D) B only
1)
2) Determine which of the following sets is a vector space.
V is the line y = x in the xy-plane: V = x
y
: y = x
W is the union of the first and second quadrants in the xy-plane: W = x
y
: y ≥ 0
U is the line y = x + 1 in the xy-plane: U = x
y
: y = x + 1
A) U only B) V only C) W only D) U and V
2)
Find a matrix A such that W = Col A.
3) W =
3r - t
4r - s + 3t
s + 3t
r - 5s + t
: r, s, t in ℛ
A)
0 3 -1
4 -1 3
0 1 3
1 -5 1
B)
3 0 -1
4 -1 3
0 1 3
1 -5 1
C)
3 -1
4 3
1 3
1 -5
D)
3 4 0 1
0 -1 1 -5
-1 3 3 1
3)
Determine if the vector u is in the column space of matrix A and whether it is in the null space of A.
4) u =
5
-3
5
, A =
1 -3 4
-1 0 -5
3 -3 6
A) In Col A and in Nul A B) In Col A, not in Nul A
C) Not in Col A, in Nul A D) Not in Col A, not in Nul A
4)
Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let B be the standard
basis of the space P2 of polynomials, that is, let B = 1, t, t2 .
5) 1 + 2t, 3 + 6t2, 1 + 3t + 4t2
A) Linearly dependent B) Linearly independent
5)
Find the dimensions of the null space and the column space of the given matrix.
6) A = 1 -5 -4 3 0
-2 3 -1 -4 1
A) dim Nul A = 2, dim Col A = 3 B) dim Nul A = 4, dim Col A = 1
C) dim Nul A = 3, dim Col A = 2 D) dim Nul A = 3, dim Col A = 3
6)
1
Solve the problem.
7) Let H =
a + 3b + 4d
c + d
-3a - 9b + 4c - 8d
-c - d
: a, b, c, d in ℛ
Find the dimension of the subspace H.
A) dim H = 3 B) dim H = 1 C) dim H = 4 D) dim H = 2
7)
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
8) A =
1 3 -4 0 1
2 4 -5 5 -2
1 -5 0 -3 2
-3 -1 8 3 -4
, B =
1 3 -4 0 1
0 -2 3 5 -4
0 0 -8 -23 17
0 0 0 0 0
A) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)}
B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)}
C) {(1, 3, -4, 0, 1), (2, 4, -5, 5), -2, (1, ...
What is the distance between the points B and C Experience Tradition/tutorial...pinck3124
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
This paper is part of an examination of the College counting towards the award of a degree.
Examinations are governed by the College Regulations under the authority of the Academic Board.
Additional Mathematics form 4 (formula)Fatini Adnan
This document provides a summary of various math formulae for Form 4 students in Malaysia, including:
1. Functions, quadratic equations, and quadratic functions
2. Simultaneous equations, indices and logarithms, and coordinate geometry
3. Statistics, circular measures, and differentiation
It lists common formulae for topics like the quadratic formula, completing the square, differentiation rules, and measures of central tendency and dispersion. The document is intended as a study guide for students to review essential formulae.
This document is a 50 question practice test for the SAT Mathematics Level 2 exam. It provides 1 hour (60 minutes) to complete the test. The test contains multiple choice questions covering a variety of math topics, including geometry, trigonometry, algebra, statistics, and other concepts. Answers are selected from 5 possible choices labeled A through E.
This document discusses quadratic functions and their graphs. It begins by defining the general form of a quadratic function as f(x) = ax2 + bx + c, where a ≠ 0. It then explains how to identify the shape of a quadratic graph based on the sign of a, whether it is positive or negative. Examples are provided to show how to sketch graphs, find maximum and minimum values, axes of symmetry, and zeros. The document also covers using the discriminant to determine the number and type of roots, and completing the square to find the vertex of a quadratic function.
The document is the cover page of a mathematics question paper containing instructions and details about the exam. It states that the exam is for 2 1/2 hours with a maximum of 100 marks. The paper contains four sections. It instructs students to check for fairness of printing and inform the supervisor if any issues are found.
1. The radius of curvature at a point on a curve is defined as the reciprocal of the curvature at that point. It represents the radius of the circle that best approximates the curve near that point.
2. For the circle x^2 + y^2 = 25, the radius of curvature at any point is equal to the radius of the circle, which is 25.
3. For the curve xy = c^2, the radius of curvature at the point (c, c) is c.
The document contains 13 math problems involving functions. The problems cover topics such as:
- Finding the image and object of elements under a given function
- Finding inverse functions
- Determining the type of relation between sets
- Evaluating composite functions
- Solving for unknown constants in function definitions
- Finding the value of x when a composite function equals a given value
The document provides the problems and blank spaces for the answers. The answers section gives the solutions to each of the 13 problems.
The document contains the details of a mathematics exam paper consisting of 4 questions. Question 1 has 10 sub-parts asking students to attempt various calculus, multivariable calculus and vector calculus problems. Question 2 and 3 have 3 sub-parts each asking students to attempt 2 out of 3 problems involving limits, derivatives and integrals. Question 4 has 2 sub-parts involving further calculus problems. The document provides instructions to students regarding compulsory questions and marking schemes. It also mentions the exam code, subject and pattern.
This document contains solutions to exercises on conic sections (hyperbolas, ellipses, circles, and parabolas) from a geometry guide.
The solutions include finding the center, vertices, foci, and eccentricity of various hyperbolas and ellipses given in standard form. One example given is a circle, for which the center and radius are identified. Another example is completed by rewriting the equation in canonical form.
The purpose is to understand these geometry topics for future professional careers by solving the guide's problems and verifying answers using GeoGebra.
The document discusses expanding and factorizing algebraic expressions. It provides examples of expanding expressions using the distributive property, such as expanding (a + b)(c + d) to get ac + ad + bc + bd. It also discusses factorizing expressions by finding common factors, such as factorizing a2 + 2ab + b2 to get (a + b)2. Tips and techniques are presented for expanding, factorizing, finding common factors, and using the distributive property to manipulate algebraic expressions.
The document contains a mathematics exam with three groups of questions testing different concepts:
Group A contains 10 multiple choice questions covering domains of functions, trigonometric functions, derivatives, integrals, determinants, and properties related to maxima and minima of functions.
Group B contains another 10 multiple choice questions testing concepts like distance between parallel lines, matrix operations, complex numbers, solving equations, properties of concurrent lines, integrals involving logarithms, and solving inequalities.
Group C contains 2 problems to be solved in detail, the first finding the length of a perpendicular from a point to a line, and the second evaluating a definite integral.
This document contains 5 questions regarding a mathematics exam. It covers topics like algebra, geometry, calculus, differential equations, and matrices. Some key details:
- The exam has 5 questions worth a total of 80 marks.
- Question 1 has 8 short answer parts worth 16 marks total.
- Questions 2-4 have 4 medium length parts each worth 16 marks total.
- Question 5 has 2 long answer parts worth 16 marks total.
- The questions cover topics such as finding GCDs, eigenvalues, limits, differential equations, and geometry concepts.
This document contains 25 multiple choice questions related to mathematics topics like quadratic equations, arithmetic progressions, geometric progressions, and averages. It tests concepts such as identifying the nature of roots of quadratic equations, finding terms in sequences, determining common differences and ratios, and calculating averages. The questions are from various areas of algebra and progressions for a school exam.
IIT JAM MATH 2018 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2018 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
Call - 9836793076
This document contains a 30 question objective test on various mathematics topics. The questions cover topics like trigonometry, algebra, relations, functions, polynomials, and integers. Test takers have 60 minutes to complete the 30 questions online. The questions require calculating values, identifying true statements, finding remainders, and factoring polynomials.
B.Sc (Pass) Nautical & Engineering Model Question 2 Mathematics Second Paper
(Differential Calculus, Integral Calculus, Two-dimensional & Three- dimensional Geometry)
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________AbbyWhyte974
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
A) Slope - ; y-intercept B) Slope ; y-intercept
C) Slope ; y-intercept D) Slope - ; y-intercept
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
The document provides definitions and formulas related to algebra concepts including sets, numbers, complex numbers, factoring, products, and algebraic equations. It defines types of sets and operations on sets like union, intersection, complement and difference. It also defines types of numbers like natural numbers, integers, rational numbers, irrational numbers, real numbers and complex numbers. Formulas are given for addition, subtraction, multiplication and division of complex numbers. Other formulas presented include factoring formulas, product formulas, formulas for solving quadratic, cubic and quartic equations.
Math 2318 - Test 3In this test we will try something differe.docxandreecapon
Math 2318 - Test 3
In this test we will try something different. The answers are provided, your job is to show the work in how to get that
solution. On problem 1 only A is a vector space. You will show why it is a vector space but you will also show why B
and C are not vector spaces. On question 2 only V is a vector space. You will show why it is a vector space and you
will also show why W and U are not vector spaces.
Solve the problem.
1) Determine which of the following sets is a subspace of Pn for an appropriate value of n.
A: All polynomials of the form p(t) = a + bt2, where a and b are in ℛ
B: All polynomials of degree exactly 4, with real coefficients
C: All polynomials of degree at most 4, with positive coefficients
A) A and B B) C only C) A only D) B only
1)
2) Determine which of the following sets is a vector space.
V is the line y = x in the xy-plane: V = x
y
: y = x
W is the union of the first and second quadrants in the xy-plane: W = x
y
: y ≥ 0
U is the line y = x + 1 in the xy-plane: U = x
y
: y = x + 1
A) U only B) V only C) W only D) U and V
2)
Find a matrix A such that W = Col A.
3) W =
3r - t
4r - s + 3t
s + 3t
r - 5s + t
: r, s, t in ℛ
A)
0 3 -1
4 -1 3
0 1 3
1 -5 1
B)
3 0 -1
4 -1 3
0 1 3
1 -5 1
C)
3 -1
4 3
1 3
1 -5
D)
3 4 0 1
0 -1 1 -5
-1 3 3 1
3)
Determine if the vector u is in the column space of matrix A and whether it is in the null space of A.
4) u =
5
-3
5
, A =
1 -3 4
-1 0 -5
3 -3 6
A) In Col A and in Nul A B) In Col A, not in Nul A
C) Not in Col A, in Nul A D) Not in Col A, not in Nul A
4)
Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let B be the standard
basis of the space P2 of polynomials, that is, let B = 1, t, t2 .
5) 1 + 2t, 3 + 6t2, 1 + 3t + 4t2
A) Linearly dependent B) Linearly independent
5)
Find the dimensions of the null space and the column space of the given matrix.
6) A = 1 -5 -4 3 0
-2 3 -1 -4 1
A) dim Nul A = 2, dim Col A = 3 B) dim Nul A = 4, dim Col A = 1
C) dim Nul A = 3, dim Col A = 2 D) dim Nul A = 3, dim Col A = 3
6)
1
Solve the problem.
7) Let H =
a + 3b + 4d
c + d
-3a - 9b + 4c - 8d
-c - d
: a, b, c, d in ℛ
Find the dimension of the subspace H.
A) dim H = 3 B) dim H = 1 C) dim H = 4 D) dim H = 2
7)
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
8) A =
1 3 -4 0 1
2 4 -5 5 -2
1 -5 0 -3 2
-3 -1 8 3 -4
, B =
1 3 -4 0 1
0 -2 3 5 -4
0 0 -8 -23 17
0 0 0 0 0
A) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17), (0, 0, 0, 0, 0)}
B) {(1, 3, -4, 0, 1), (0, -2, 3, 5, -4), (0, 0, -8, -23, 17)}
C) {(1, 3, -4, 0, 1), (2, 4, -5, 5), -2, (1, ...
What is the distance between the points B and C Experience Tradition/tutorial...pinck3124
FOR MORE CLASSES VISIT
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This paper is part of an examination of the College counting towards the award of a degree.
Examinations are governed by the College Regulations under the authority of the Academic Board.
This document contains 54 multiple choice questions related to polynomials and their properties. Some key questions asked about:
- Finding the degree of polynomials
- Identifying the number of real zeros of polynomials
- Factoring polynomials
- Evaluating polynomials for given values
- Identifying coefficients and constants in polynomial expressions
- Relating the zeros of a polynomial to its factors
The questions cover topics like polynomial definitions, operations, factorization, finding zeros, and other properties of polynomials.
This document contains 38 multiple choice questions related to polynomials and their properties. Specifically, it covers topics like:
- Finding zeroes of polynomials
- Relationships between zeroes and coefficients
- Determining the degree and number of zeroes of polynomials
- Factoring polynomials
- Identifying quadratic polynomials based on their zeroes
IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
For full solutions contact us.
Call - 9836793076
1. The document contains multiple choice questions from chapters 1-3 on real numbers, logarithms, and algebraic expressions & formulas.
2. There are 21 questions total across the three topics testing concepts like properties of real numbers, logarithm rules, and simplifying algebraic expressions.
3. Answer choices are provided for each question to select the correct response.
The document contains 98 multiple choice questions related to mathematics topics like sets, relations, functions, coordinate geometry, and algebra. Specifically, it tests knowledge of concepts like elements and subsets of sets, Cartesian coordinate planes, linear and quadratic equations, and their solution sets. It also includes questions about arithmetic and geometric sequences, factorials, and trigonometric functions.
1) Vaccines are biological preparations that help improve immunity against specific diseases. They contain weakened or killed forms of pathogens that stimulate immune system memory without causing illness.
2) Edward Jenner developed the first vaccine in 1796 using cowpox to provide immunity to smallpox. There are several types of vaccines including live attenuated, inactivated, subunit, toxoid, and recombinant vector vaccines.
3) Vaccines work by exposing the immune system to antigens from pathogens. This triggers production of antibodies and memory cells that can fight the pathogen if exposed in the future, providing immunity. While vaccines have many benefits like disease prevention and eradication, some risks also exist.
This document contains multiple choice questions about philosophy and homeopathic principles related to miasms and chronic diseases. It addresses topics like the classification of miasms (psora, syphilis, sycosis, tubercular), their characteristic symptoms and manifestations, chronic disease treatment approaches, and concepts from Organon of Medicine like acute vs chronic diseases and Hahnemann's views on miasms as the underlying cause. There are a total of 70 multiple choice questions testing knowledge of these homeopathic disease entities and philosophies.
This document contains questions about various topics in pharmacognosy including plant families, chemical constituents, glycosides, volatile oils, and carbohydrates. It asks multiple choice questions to test knowledge of which plants contain certain chemical constituents like menthol, camphor oil, or phenolic volatile oils. It also covers topics like plant classification systems, cellulose derivatives, and carbohydrate structures.
The document contains 70 multiple choice questions related to pathology. The questions cover a wide range of topics including types of tumors, causes of cell injury, types of shock, inflammation, hematology, and more. Correct answer choices are provided for each question to test understanding of key concepts in pathology.
The document contains multiple choice questions about microbiology. It covers topics like bacterial cell structure, types of bacteria based on oxygen requirements and temperature preferences, identification of common bacteria like Staphylococcus, Streptococcus, E. coli through tests and characteristics. It also mentions fungi like Aspergillus and viruses causing diseases like hepatitis, influenza. Common pathogenic bacteria including Pseudomonas, Clostridium, Salmonella and diseases caused by them are discussed.
The document discusses various fungal, bacterial, and viral infections. It provides information on different pathogens that cause infections in the mouth, skin, hair, and other parts of the body. It also describes symptoms and treatments for common infections like thrush, ringworm, athlete's foot, and more. The document contains multiple choice questions to test knowledge on topics like characteristics of fungi and bacteria, diseases they cause, treatment options, and more.
This document contains multiple choice questions related to homeopathic remedies. It tests knowledge on remedies including their spheres of action, key symptoms, proving authors, and more. Some remedies addressed include Aconite, Arnica, Baptisia, Calendula, Cannabis, and China.
Este documento contiene 96 preguntas de opción múltiple sobre materia médica homeopática. Cada pregunta presenta una lista de síntomas o condiciones y cuatro opciones de remedios homeopáticos, solicitando identificar cuál de los remedios se corresponde con la descripción dada. Los remedios mencionados incluyen Aethosacynopium, Agaricusmuscarus, Alliumcepa, ArnicaMontena, Berberis, Belladonna, Cimicifuga y otros.
The document presents information about different operating systems, including their history and versions. It discusses major operating systems like Windows, Mac OS, Linux, Android and iOS. Windows operating systems discussed include Windows 1.0 to Windows 10, Windows NT, Windows CE, Windows Phone and OS/2. It also provides brief descriptions of key components of operating systems like the kernel, process management, memory management, security, networking and file systems.
The document discusses diphtheria, a contagious bacterial infection that mainly affects the nose and throat. It can also affect the skin. Children are most affected. The symptoms include sore throat, breathing difficulties, and fever. Complications can include heart damage, nerve damage, kidney problems, and difficulty breathing. Diphtheria is caused by Corynebacterium diphtheriae bacteria and is transmitted through respiratory droplets. It can be diagnosed through throat cultures and treated with antitoxin and antibiotics. Vaccination is an effective preventive measure.
Diphtheria is a contagious bacterial infection of the nose and throat caused by Corynebacterium diphtheriae. It is spread through respiratory droplets from coughing or sneezing. Symptoms include a thick gray membrane in the throat, sore throat, difficulty breathing, and fever. Complications can include heart damage, nerve damage, kidney problems, and trouble breathing if the membrane blocks the airway. Diphtheria is preventable through vaccination and treated with antitoxin to neutralize the toxin and antibiotics to kill the bacteria.
The document contains 90 multiple choice questions related to human anatomy and physiology. It covers topics like growth hormone, the female reproductive system, thyroid gland, pancreas, adrenal glands, male reproductive system, and more. Each question has 4 answer options to choose from.
The document contains 45 multiple choice questions about various endocrine glands and hormones. It covers topics like the causes and characteristics of gigantism, acromegaly, dwarfism and prognathism. It also discusses the hormones involved like growth hormone, thyroid hormones and others. The questions cover the anatomy and functions of the pituitary, thyroid, adrenal and other endocrine glands.
The document contains multiple choice questions about various alternative and complementary medicine topics. It covers herbalism, aromatherapy, homeopathy, Ayurveda, Unani, acupuncture, chiropractic, osteopathy, massage, yoga, Alexander technique and others. The questions test knowledge about the origins, principles, techniques and applications of different alternative therapy systems.
This document contains 75 multiple choice questions related to various alternative and complementary medicine topics such as yoga, acupuncture, chiropractic, herbalism, aromatherapy, hydrotherapy, naturopathy, therapeutic touch, and mud therapy. The questions cover definitions, origins, techniques, applications, and principles of different alternative medicine domains.
The document contains 73 multiple choice questions related to statistical concepts such as hypothesis testing, measures of central tendency, correlation, regression, sampling, and chi-square tests. The questions cover topics like the difference between parameters and statistics, types of errors in hypothesis testing, measures of dispersion, levels of significance, and definitions of key statistical terms.
The document contains 70 multiple choice questions about anatomy. It covers topics like embryology, neuroanatomy, reproductive anatomy, histology, and other areas. The questions test knowledge of topics like embryonic development of pharyngeal arches and derivatives, parts of the brain and their functions, structure and layers of tissues like skin and mucosa, male and female reproductive systems, and basic cell types.
The document discusses various topics related to embryological development:
- The tongue develops from mesoderm of pharyngeal arches. Lingual swellings are the first indication and the posterior third results from proliferation of mesenchyme of the 2nd arch.
- The palatine tonsil develops from the 2nd pharyngeal pouch.
- All structures develop from the 2nd pharyngeal arch except the stapedius muscle.
- The hyoid bone develops from the 1st and 2nd pharyngeal arches.
- The thyroid gland develops primarily from the 3rd pharyngeal pouch.
1. The document provides a series of multiple choice questions related to anatomy and physiology of the nervous system. It covers topics like neuroanatomy, cranial nerves, neurotransmitters, brain regions and their functions, sensory and motor systems, and disorders.
2. The questions test knowledge of structures like the basal ganglia, cerebellum, hypothalamus and their roles. Neurotransmitters like dopamine, GABA, and functions of regions like the substantia nigra are also assessed.
3. Sensory and motor pathways, spinal nerves, reflexes and various neurological disorders are evaluated through questions related to lesions, paralysis and symptoms.
Literature Review Basics and Understanding Reference Management.pptxDr Ramhari Poudyal
Three-day training on academic research focuses on analytical tools at United Technical College, supported by the University Grant Commission, Nepal. 24-26 May 2024
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMHODECEDSIET
Time Division Multiplexing (TDM) is a method of transmitting multiple signals over a single communication channel by dividing the signal into many segments, each having a very short duration of time. These time slots are then allocated to different data streams, allowing multiple signals to share the same transmission medium efficiently. TDM is widely used in telecommunications and data communication systems.
### How TDM Works
1. **Time Slots Allocation**: The core principle of TDM is to assign distinct time slots to each signal. During each time slot, the respective signal is transmitted, and then the process repeats cyclically. For example, if there are four signals to be transmitted, the TDM cycle will divide time into four slots, each assigned to one signal.
2. **Synchronization**: Synchronization is crucial in TDM systems to ensure that the signals are correctly aligned with their respective time slots. Both the transmitter and receiver must be synchronized to avoid any overlap or loss of data. This synchronization is typically maintained by a clock signal that ensures time slots are accurately aligned.
3. **Frame Structure**: TDM data is organized into frames, where each frame consists of a set of time slots. Each frame is repeated at regular intervals, ensuring continuous transmission of data streams. The frame structure helps in managing the data streams and maintaining the synchronization between the transmitter and receiver.
4. **Multiplexer and Demultiplexer**: At the transmitting end, a multiplexer combines multiple input signals into a single composite signal by assigning each signal to a specific time slot. At the receiving end, a demultiplexer separates the composite signal back into individual signals based on their respective time slots.
### Types of TDM
1. **Synchronous TDM**: In synchronous TDM, time slots are pre-assigned to each signal, regardless of whether the signal has data to transmit or not. This can lead to inefficiencies if some time slots remain empty due to the absence of data.
2. **Asynchronous TDM (or Statistical TDM)**: Asynchronous TDM addresses the inefficiencies of synchronous TDM by allocating time slots dynamically based on the presence of data. Time slots are assigned only when there is data to transmit, which optimizes the use of the communication channel.
### Applications of TDM
- **Telecommunications**: TDM is extensively used in telecommunication systems, such as in T1 and E1 lines, where multiple telephone calls are transmitted over a single line by assigning each call to a specific time slot.
- **Digital Audio and Video Broadcasting**: TDM is used in broadcasting systems to transmit multiple audio or video streams over a single channel, ensuring efficient use of bandwidth.
- **Computer Networks**: TDM is used in network protocols and systems to manage the transmission of data from multiple sources over a single network medium.
### Advantages of TDM
- **Efficient Use of Bandwidth**: TDM all
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...University of Maribor
Slides from talk presenting:
Aleš Zamuda: Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapter and Networking.
Presentation at IcETRAN 2024 session:
"Inter-Society Networking Panel GRSS/MTT-S/CIS
Panel Session: Promoting Connection and Cooperation"
IEEE Slovenia GRSS
IEEE Serbia and Montenegro MTT-S
IEEE Slovenia CIS
11TH INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONIC AND COMPUTING ENGINEERING
3-6 June 2024, Niš, Serbia
Using recycled concrete aggregates (RCA) for pavements is crucial to achieving sustainability. Implementing RCA for new pavement can minimize carbon footprint, conserve natural resources, reduce harmful emissions, and lower life cycle costs. Compared to natural aggregate (NA), RCA pavement has fewer comprehensive studies and sustainability assessments.
Comparative analysis between traditional aquaponics and reconstructed aquapon...bijceesjournal
The aquaponic system of planting is a method that does not require soil usage. It is a method that only needs water, fish, lava rocks (a substitute for soil), and plants. Aquaponic systems are sustainable and environmentally friendly. Its use not only helps to plant in small spaces but also helps reduce artificial chemical use and minimizes excess water use, as aquaponics consumes 90% less water than soil-based gardening. The study applied a descriptive and experimental design to assess and compare conventional and reconstructed aquaponic methods for reproducing tomatoes. The researchers created an observation checklist to determine the significant factors of the study. The study aims to determine the significant difference between traditional aquaponics and reconstructed aquaponics systems propagating tomatoes in terms of height, weight, girth, and number of fruits. The reconstructed aquaponics system’s higher growth yield results in a much more nourished crop than the traditional aquaponics system. It is superior in its number of fruits, height, weight, and girth measurement. Moreover, the reconstructed aquaponics system is proven to eliminate all the hindrances present in the traditional aquaponics system, which are overcrowding of fish, algae growth, pest problems, contaminated water, and dead fish.
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
A review on techniques and modelling methodologies used for checking electrom...nooriasukmaningtyas
The proper function of the integrated circuit (IC) in an inhibiting electromagnetic environment has always been a serious concern throughout the decades of revolution in the world of electronics, from disjunct devices to today’s integrated circuit technology, where billions of transistors are combined on a single chip. The automotive industry and smart vehicles in particular, are confronting design issues such as being prone to electromagnetic interference (EMI). Electronic control devices calculate incorrect outputs because of EMI and sensors give misleading values which can prove fatal in case of automotives. In this paper, the authors have non exhaustively tried to review research work concerned with the investigation of EMI in ICs and prediction of this EMI using various modelling methodologies and measurement setups.
1. Paper Mathematics Smester 3rd
Q1: Anything belongs to a set is called _______ of the set
(a) Subset (b) Element (c) Domain (d) Power
Q2:
A set which describes with the help of a statement is called
________.
(a) Tabular (b) Set builder (c) Descriptive (d) None of these
Q3:
The order pairs (-5,3) liesin _______
quadrant.
(a) 1st (b) 2nd (c) 3rd (d) 4th
Q4: The order pairs (0,2) lies in/on ________.
(a) 1st quadrant (b) 2nd quadrant (c) X-axis (d) Y-axis
Q5:
__________ is well definedand distinct
objects
(a) Set (b) Conjunction (c) Power (d)Relation
Q7: {………., -3, -2, -1,0,1,2,3…….} is the set of _________.
(a) Prime numbers (b) Integers (c) Whole numbers (d) Even numbers
Q8: The order pairs (5,0) lies in/on ________.
(a) Y-axis (b) 2nd quadrant (c) X-axis (d) 3rd quadrant
Q9: If A= {1, 2, 3, 4, 6} and B= {1,3,5,7} then A∩B = __________.
(a) {2,4,6,7} (b) {2,5,6,7} (c) {1,3} (d) {4,5,6,7}
Q10:
(a) (b) (c) (d)
Q11: The order pairs (0,0) lies in/on ________.
(a) Abscissa (b) Ordinate (c) Origin (d) 4th quadrant
Q12: The plane made by x and y axis is also called ________.
(a) Rectangular (b) Coordinate (c) Vertical (d) Horizontal
Q13: The set of the first elementsof all order pairs in a relation R is called _____of the
relation.
(a) Range (b) Function (c) Domain (d) Union
Q14: {0} is the set which has _____ elements.
(a) Two (b) Three (c) One (d) Four
Q15: A∩A = ____________.
(a) C’ (b) U (c) ɸ (d) A
Q16: At 3rd quadrant the value of x and y will be ________
(a) + and – (b) – and + (c) – and – (d) + and +
Q17: A function f from A to B is called an onto function if ________
(a) f(a) = b (b) Domain R = A (c) Range f = B (d) f(a) = f(b)
Q18: Two order pairs (a,b) and (c,d) are equal if and only if _______.
(a) a = b; b = c (b) a = b; c = d (c) a = c; b = d (d) b = d; c = d
Q19: the y-coordinate of every point at x-axisis ______.
(a) 1 (b) -1 (c) 0 (d) None of these
Q20: If a relation is given by R = {(0,1), (1,2), (3,4)} then the range of R is ______.
2. (a) {0,1,2} (b) {0,2,4} (c) {1,2,3} (d) {1,2,4}
Q21: Two equations in two variables which are true for the same ordered pair are called
_____ equation.
(a) Cubical (b) Quadratic (c) Radical (d) Simultaneous
Q22: The solution set of is ______.
(a) {5} (b) {4} (c) {12} (d) {16}
Q23: The solution set of and x=y is equal to ______
(a) {3,3} (b) {3, -3} (c) {0,3} (d) {3,0}
Q24: The order pairs satisfying is ________.
(a) {7,7} (b) {0,7} (c) {-1, -6} (d) {7,0}
Q25: The solution set of is ______.
(a) {12} (b) {3} (c) {1,2,3} (d) {1,2}
Q26: The solution set of x2+5x = 0 is _________.
(a) {0, -5} (b) {0,5} (c) {2,3} (d) {1,2}
Q27: If x2-25 = 0 then x = _________.
(a) ±5 (b) 5 (c) 6 (d) 0
Q28: The number which is added to any other number and the number remains unchanged is
called _______.
(a) Multiplicative identity (b) Additive identity (c) Multiplicative inverse (d) Additive inverse
Q29: The solution set of x2-x-2 = 0 is ______.
(a) {4,5} (b) {1,2} (c) {2, -1} (d) {4,6}
Q30: The number which is multipliedto any other number and the number remains
unchanged is called _________.
(a) Additive identity (b) Multiplicative identity (c) Additive inverse (d) Multiplicative inverse
Q31: If A = {2,4,6,8} and B = {2,4,5,6,7,8} the AUB = ___________.
(a) {2,4,6,8} (b) {2,4,5,6,7,8} (c) {2,4,6,8,7} (d) {2,4,6,8}
Q32: If A = {1,2,3} and B = {4,5,6} then A∩B = _________.
(a) {2,3} (b) {1,2,3,4,5,6} (c) { } (d) None of these
Q33: If A = {2,4,6,8} and B = {6,7,8,9,10} then AB = __________.
(a) {6,8} (b) {2,4,6,8} (c) {2,4,6} (d) {2,4}
Q34: A function is a relation of ordered pairs with constraints that on a single domain value
there will be always a single range, according to this rule find and choose which of the following
is a function?
(a) {(1,2), (2,4), (3,5), (2,6), (1, -3)} (b) {(1,2), (2,4), (1, -3)} (c) {(2,4), (3,5), (2,6)} (d) {(1,2), (2,4), (3,5)}
Q35: Which of the following is an example of linearequation?
(a) X2+1 = 7 (b) 2xy+4 =0 (c) (d) 2x+4 = 10
Q36: The solution set for the x+y = 10 and x-y = 2 is ________.
(a) (5,5) (b) (6,4) (c) (6,2) (d) (5,6)
Q37: According to constant rule of derivative each constant function derivative will be ____.
(a) 3 (b) 2 (c) 1 (d) 0
Q38: The solution set for the 2x+y = 4 and x-y = -1 is _______.
3. (a) (2,12) (b) (1,2) (c) (2,2) (d) (3,3)
Q39: The sequence 20,10,0, -10, -20, -30………. Is an arithmetic progression (A.P) with
common difference of_______?
(a) -5 (b) 10 (c) -10 (d) 5
Q40:
(a) -1 (b) 1 (c) -2 (d) 2
Q41: The standard form of quadratic formula is _______.
(a) ax + bx + c = 0 (b) ax4 + bx2 + c = 0 (c) ax3 + bx2 + cx = 0 (d) ax2 + bx + c = 0
Q42: The reciprocal of is __________.
(a) 9 (b) 81 (c) 18 (d)
Q43: The series2,4,8,16,32, 64……… has a common factor ______multiplied to the previous
number to generate new number.
(a) 4 (b) 6 (c) 2 (d) 5
Q44: If then we can find the derivative of y using _____ rule.
(a) Power Rule (b) Product Rule (c) Quotient Rule (d) Product and Quotient both
Q45: The sequence of 3rd row in Pascal’s triangle Is _______
(a) 1,2,2,1 (b) 2,2,2,2 (c) 1,3,3,1 (d) 1,2,3,1
Q46: The standard formula of A.P to find the nth term is ____________.
(a) (a + n + d) (b) a + (n-1) d (c) a + (n-2) d (d) a + (n-1)
Q47: 36 x 3-3 x 310 = ___________
(a) 316 (b) 3-16 (c) 313 (d) 312
Q48: The Arithmetic Mean of 3,4,3,10,0 is ____________.
(a) 5 (b) 16 (c) 18 (d) 4
Q49: The Geometric Mean of 2 and 18 is ________.
(a) 2 (b) 4 (c) 6 (d) 8
Q50:
(a) (b) (c) (d)
Q51: Permutation is arrangement in which the order does not matter
(a) True (b) False
Q52: 4! = __________
(a) 10 (b) 24 (c) 12 (d) 20
Q53: 0! = __________
(a) 0 (b) 1 (c) 2 (d) 3
Q54: π is equal to __________ in degrees.
(a) 80 degree (b) 180 degree (c) 280 degree (d) 380 degree
Q55: π/2 is equal to __________ in degrees.
(a) 0 degree (b) 90 degree (c) 120 degree (d) 160 degree
Q56: 2π is equal to __________ in degrees.
(a) 160 degree (b) 260 degree (c) 360 degree (d) 460 degree
Q57: = __________.
(a) (b) (c) (d) None of the above
4. Q72: Anything belongs to a set is called _______ of the set
(b) Subset (b) Element (c) Domain (d) Power
Q73: A set is a collection of well-defined anddistinct ________.
(b) Objects (b) Numbers (c) both a & b (d) None of these
Q74: The order pairs (-4, 2) liesin _______ quadrant.
(b) 1st (b) 2nd (c) 3rd (d) 4th
PRACTICE QUESTIONS
Paper Mathematics Smester 3rd
Q75: The order pairs (10, 20) lies in/on ________.
(b) 1st quadrant (b) 2nd quadrant (c) X-axis (d) Y-axis
Q76: __________ is a collection well definedand distinct objects
(b) Set (b) Conjunction (c) Power (d)Relation
Q77: If A a,b,c B
then A B _______
(a) a,b,c (b) a (c)
(d)
Q78: {0, 1, 2, 3…….} is the set of _________.
(b) Prime numbers (b) Integers (c) Whole numbers (d) Even numbers
Q79: The order pairs (8, 0) liesin/on ________.
(b) Y-axis (b) 2nd quadrant (c) X-axis (d) 3rd quadrant
Q80: If A= {-1, -2, -3, -4, -5} and B= {1, 3, 5, 7} then A∩B = __________.
(b) {} (b) {φ} (c) {1,3} (d) {4,5,6,7}
Q81: If A= {0, 2, 4, 6} and B= {4, 6, 7, 8} then A∩B = __________.
(c) {2,4,6,7} (b) {4,6,} (c) {0,4} (d) {7,8}
Q82: If A Band B Atherelationbetween A& B
(a) A B (b) A B (c) both a & b (d)All of these
Q83: 0! =
(b) 0 (b) 1 (c) 10 (d)2
Q84: 5! =__________
(b) 5 (b) 50 (c) 120 (d) 24
Q85: The plane made by x and y axis is also called ________plane.
(b) Rectangular (b) Coordinate (c) Vertical (d) Horizontal
Q86: The set of the first elementsof all order pairs in a relation R is called _____.
(b) Range (b) Function (c) Domain (d) Union
Q87: {0} is the set which has _____ elements.
(b) Two (b) Three (c) One (d) Four
Q88: AUA = ____________.
(b) B (b) U (c) ɸ (d) A
Q89: At 3rd quadrant the value of x and y will be ________
(b) + and – (b) – and + (c) – and – (d) + and +
Q90: A function f from A to B is called an onto function if ________
5. (b) f(a) = b (b) Domain R = A (c) Range f = B (d) f(a) = f(b)
Q91: Two order pairs (x,y) = (7, 11) then the valuesof x and y _______.
(b) -7, 11 (b) 7, -11 (c) 7, 11 (d) None
Q92: The x-coordinate of every point at y-axis is ______.
(a) 0 (b) -1 (c) 1 (d) None of these
Q93: If a relation is given by R = {(0, 1), (1, 2), (3, 4)} then the domain of R is ______.
(b) {0,1,3} (b) {0,2,4} (c) {1,2,3} (d) {1,2,4}
Q94: An equation of degree one is called _____ equation.
(b) Cubical (b) Quadratic
Q95: The solution set of x2 100 is ______.
(a) {0} (b) {4} (c) {100} (d) {10}
Q96: The solution set of and x=y is equal to ______
(b) {3,3} (b) {3, -3} (c) {0,3} (d) {3,0}
Q97: The order pairs satisfying x y 10 is ________.
(b) {5,7} (b) {0,10} (c) {-5, -5} (d) {10,1}
Q98: The solution set of x 3 is______.
(a) {27} (b) {3} (c) {18} (d) {9}
Q99: An equation of degree two is called _________.
(b) Cubical (b) Quadratic (c) Linear (d) All of these
Q100: If x2-25 = 0 then x = _________.
(b) ±5 (b) 5 (c) 6 (d) 0
Q101: For the set S={1,2,3 } then f={(1,1),(2,2),(3,3)} is _______.
(b) One-One (b) Onto (c) One-one & Onto (d) All of these
Q102: If A= {a, b, c, d} and B={c, d, e} then A-B = ______.
(b) {a, b} (b) {c ,d} (c) {a, b, c} (d) {d, e}
Q103: The sequence 20, 30, 40…………. called _________.
(b) Geometric sequence (b)Arithmetic sequence (c) harmonic sequence (d) All of these
Q104: The 17th term of the Arithmetic sequence 5, 10, 15…………. ___________.
(b) 50 (b) 75 (c) 85 (d) 90
Q105: If A = {1,2,3} and B = {4,5,6} then A∩B = _________.
(b) {2,3}
(b)
{1,2,3,4,5,6} (c) { } (d) None of these
Q106: If A = {2,4,6,8} and B = {6,7,8,9,10} then A-B = __________.
(b) {6,8} (b) {2,4,6,8} (c) {2,4,6} (d) {2,4}
Q107: A sequence is said to be an arithmetic sequence if the __________is same
(b) Common ratio (b) Common difference (c) Common Multiple (d) None of these
Q108: The sequence 1, 1 ,1,.................sequnce
2 34
(b) Arithmetic (b) Geometric (c) Harmonic (d) All of these
Q109: The sum of first 100 natural numbers ____.
(b) 500 ( b) 100 (c) 5050 (d) 1000
Q110: a1 2, d 10 then a10 ? _______.
6. (b) 10 (b) 92 (c) 120 (d) 200
Q111: The sequence 20, 10, 0, -10, -20, -30………. Is an arithmetic progression (A.P) with
common difference of_______?
(b) -5 (b) 10 (c) -10 (d) 5
Q112:
(b) -1 (b) 1 (c) -2 (d) 2
Q113: The standard form of quadratic equation is _______.
(b) ax + bx + c = 0 (b) ax4 + bx2 + c = 0 (c) ax3 + bx2 + cx = 0 (d) ax2 + bx + c = 0
Q114: 6! = __________.
(b) 720 (b) 120 (c) 360 (d) 65
Q115: The series 2,4,8,16,32, 64……… has a common ratio______
(b) 4 (b) 6 (c) 2 (d) 5
Q116: The value of 6 p is _____ .
6
(b) 1 (b) 0 (c) 720 (d) 360
Q117: The sequence of 3rd row in Pascal’s triangle Is _______
(a) 1,2,2,1 (b) 2,2,2,2 (c) 1,3,3,1 (d) 1,2,3,1
Q118: The standard formula of A.P to find the nth term is ____________.
(b) a1 (n 1)d(b) a1 (n 1)d (c) a1 (n 2)d (d) a1 (n 1)
Q119: The value of 6C = ___________
6
(b) 1 (b) 720 (c) 120 (d) 720
Q120: The distance between the points (5,5) and (-5,-5) is ____________.
(b) 0 (b) 20 (c) 10 2 (d) 2 10
Q121: The Arithmetic Mean of 2 and 18 is ________.
(b) 9 (b) 10 (c) 8 (d) 20
Q122: lim x2
x2
(a) 2 (b)-4 (c) 4 (d) 3
Q123: Permutation is arrangement in which the order does not matter
(b) True (b) False (c) none of these (d) both a & b
Q124: 4! = __________
(b) 10 (b) 24 (c) 12 (d) 20
Q125: The value of Cos 0 = __________
(b) 0 (b) 1 (c) 2 (d) 3
Q126: π is equal to __________ in degrees.
(b) 80 degree (b) 180 degree (c) 280 degree (d) 380 degree
Q127: π/2 is equal to __________ in degrees.
(b) 0 degree (b) 90 degree (c) 120 degree (d) 160 degree
Q128: 2π is equal to __________ in degrees.
(a) 160 degree (b) 260 degree (c) 360 degree (d) 460 degree
Q129: = __________.
(a) perpendicular (b) perpendicular (c) (d) None of the above
base Hypotenuse
Q130: = __________.
7. (a) (b) Base (c) (d) None of the above
Q131: = __________.
(a) (b) (c) (d)
Q132: y2 4 px is an equation of =__________.
(a) circle (b) parabola (c) hyperbola (d) Ellipse
Q133: x2 y2 1isan equation of circle centered at __________.
(a) X-axis (b) y-axis (c) Origin (d)Z-axis
Q134: If focus of the parabola is (4,0) then is equation will be__________.
(a) y2 4ax (b) y2 16x (c) y2 4x (d) y2 16x
Q135: If the directrix of the parabola is y 6 then the value of p is
(a) 6 (b) -6 (c) 0 (d) None of these
Q136: Radius of the circle x2 y2 25
(a) 25 (b 10 (c) 5 (d) 0
Q137: (x h)2 ( y k)2 r2 isan equation of__________.
(a) Ellipse (b) parabola (c) square (d) circle
Q138: 2x + 3 = 11 then the value of x__________.
(a) 4 (b) 8 (c) 10 (d) 16
Q139: If the sum of the two integers is 16 and their product is 60 the numbers are=_____.
(a)2,8 (b)5,5 (c) 1,9
(d)
6,10
Q140: If y2 16x then the focus of the parabola will be__________.
(a) (4,0)(b) (-4,0) (c) (0,-4) (d) (0,4)
Q141: (a b)(a b) __________.
(a) a2 b2 (b) a2 b2 (c) (a b)2 (d) 4ab