2012 s1s mathut1
•Download as DOCX, PDF•
0 likes•185 views
The document is a mathematics test containing 8 questions for a grade 11 science class. It provides the student name, ID number, and class information at the top. The test instructs students to attempt all questions, and allows the use of a calculator. It then lists the 8 questions, each worth a certain percentage of the test total and covering topics like finding equations of lines, loci of points, circumcenters of triangles, and graphing relationships.
Report
Share
Report
Share
Recommended
Assignment no. 1
This document contains 3 questions from a Numerical Analysis assignment. Question 1 asks to use the Bisection Method to find the solution to 2 equations between given intervals to 3 decimal places. Question 2 asks to convert 1 equation into 3 different forms and use a fixed point iterative scheme to find the approximate root of each form using a given initial guess and number of iterations. Question 3 asks to use Newton's Method to find the solution to 2 equations accurate to 3 decimal places, with a given initial guess for each equation.
Handwritten character recognition using method filters
This document proposes a new method for handwritten character recognition that uses different recognition methods sequentially as filters. It begins by describing existing recognition methods like matrix matching, feature extraction, and neural networks. It then introduces three new methods: intersection count method, shape enclosed method, and centroid based method. These are combined and applied sequentially to the input as filters to recognize characters. At each step, the possible matches are reduced, improving efficiency over single methods. The method is described through an example recognizing the letter P. It shows how each step reduces the possible matches until a single character is identified. The document concludes the filter approach is more accurate and efficient than single complex methods.
Tips to crack Mathematics section - JEE Main 2014
The document outlines the syllabus for the JEE (Main) - 2014 exam which includes 16 units covering topics in mathematics such as sets, complex numbers, matrices, permutations, combinations, binomial theorem, calculus, differential equations, coordinate geometry, vectors, statistics, probability, and trigonometry. It also includes two practice problems, one asking for the distance between a pair of lines given by a quadratic equation, and another asking for the sum of the roots of a given polynomial equation.
14. Statistics
This document provides information about statistics concepts including measures of central tendency (mean, median, mode), calculating mean and median for grouped and ungrouped data, frequency distributions, and ogives. It also includes 50 multiple choice questions testing understanding of these statistical concepts. Key topics covered are calculating and comparing means, medians, and modes, determining class boundaries and mid-values, and identifying appropriate measures and formulas for grouped and ungrouped data sets.
Half Subtractor.pptx
The document discusses half and full subtractor circuits. It explains that a half subtractor performs subtraction of two bits, taking two inputs (minuend and subtrahend) and producing two outputs (difference and borrow out). The difference is 0 if the inputs are equal and 1 if they are not. Borrow out is 1 if the minuend is less than the subtrahend. A full subtractor performs subtraction of three bits, taking inputs of minuend, subtrahend, and borrow from the previous stage to produce difference and borrow out.
Numerical Solution to Ninth order Non- Linear Differential Equation Using the...
This document presents a numerical solution to a ninth order non-linear differential equation using a ninth degree B-spline collocation method. The method develops a recursive form of ninth degree B-spline functions as a basis for the collocation method. The method is tested on a sample ninth order non-linear boundary value problem. The numerical results generated by the method closely match the exact solution, demonstrating the effectiveness of using ninth degree B-splines in the collocation method to solve ninth order differential equations.
1.1 and 1.2 slides revised
This document provides an overview of objectives and content covered in Chapter 1, Sections 1.1 and 1.2 of a College Algebra course. Section 1.1 focuses on graphing points and equations in a rectangular coordinate system, interpreting graphs, and using graphing utilities. Section 1.2 covers solving linear and rational equations, including those with fractions, as well as identifying identities, conditional, and inconsistent equations.
Hprec2 1
This document discusses two graphical methods for approximating solutions to equations: the intersect method and the x-intercept method.
The intersect method involves graphing both sides of the equation on the same coordinate plane and finding the x-coordinates where the graphs intersect. The x-intercept method rewrites the equation in the form f(x)=0, graphs the function, and uses the calculator to find the x-intercepts or zeros of the function.
Examples are provided to demonstrate both methods. Key steps are outlined, such as setting the calculator to the correct mode and using appropriate functions to find intersections or zeros.
Recommended
Assignment no. 1
This document contains 3 questions from a Numerical Analysis assignment. Question 1 asks to use the Bisection Method to find the solution to 2 equations between given intervals to 3 decimal places. Question 2 asks to convert 1 equation into 3 different forms and use a fixed point iterative scheme to find the approximate root of each form using a given initial guess and number of iterations. Question 3 asks to use Newton's Method to find the solution to 2 equations accurate to 3 decimal places, with a given initial guess for each equation.
Handwritten character recognition using method filters
This document proposes a new method for handwritten character recognition that uses different recognition methods sequentially as filters. It begins by describing existing recognition methods like matrix matching, feature extraction, and neural networks. It then introduces three new methods: intersection count method, shape enclosed method, and centroid based method. These are combined and applied sequentially to the input as filters to recognize characters. At each step, the possible matches are reduced, improving efficiency over single methods. The method is described through an example recognizing the letter P. It shows how each step reduces the possible matches until a single character is identified. The document concludes the filter approach is more accurate and efficient than single complex methods.
Tips to crack Mathematics section - JEE Main 2014
The document outlines the syllabus for the JEE (Main) - 2014 exam which includes 16 units covering topics in mathematics such as sets, complex numbers, matrices, permutations, combinations, binomial theorem, calculus, differential equations, coordinate geometry, vectors, statistics, probability, and trigonometry. It also includes two practice problems, one asking for the distance between a pair of lines given by a quadratic equation, and another asking for the sum of the roots of a given polynomial equation.
14. Statistics
This document provides information about statistics concepts including measures of central tendency (mean, median, mode), calculating mean and median for grouped and ungrouped data, frequency distributions, and ogives. It also includes 50 multiple choice questions testing understanding of these statistical concepts. Key topics covered are calculating and comparing means, medians, and modes, determining class boundaries and mid-values, and identifying appropriate measures and formulas for grouped and ungrouped data sets.
Half Subtractor.pptx
The document discusses half and full subtractor circuits. It explains that a half subtractor performs subtraction of two bits, taking two inputs (minuend and subtrahend) and producing two outputs (difference and borrow out). The difference is 0 if the inputs are equal and 1 if they are not. Borrow out is 1 if the minuend is less than the subtrahend. A full subtractor performs subtraction of three bits, taking inputs of minuend, subtrahend, and borrow from the previous stage to produce difference and borrow out.
Numerical Solution to Ninth order Non- Linear Differential Equation Using the...
This document presents a numerical solution to a ninth order non-linear differential equation using a ninth degree B-spline collocation method. The method develops a recursive form of ninth degree B-spline functions as a basis for the collocation method. The method is tested on a sample ninth order non-linear boundary value problem. The numerical results generated by the method closely match the exact solution, demonstrating the effectiveness of using ninth degree B-splines in the collocation method to solve ninth order differential equations.
1.1 and 1.2 slides revised
This document provides an overview of objectives and content covered in Chapter 1, Sections 1.1 and 1.2 of a College Algebra course. Section 1.1 focuses on graphing points and equations in a rectangular coordinate system, interpreting graphs, and using graphing utilities. Section 1.2 covers solving linear and rational equations, including those with fractions, as well as identifying identities, conditional, and inconsistent equations.
Hprec2 1
This document discusses two graphical methods for approximating solutions to equations: the intersect method and the x-intercept method.
The intersect method involves graphing both sides of the equation on the same coordinate plane and finding the x-coordinates where the graphs intersect. The x-intercept method rewrites the equation in the form f(x)=0, graphs the function, and uses the calculator to find the x-intercepts or zeros of the function.
Examples are provided to demonstrate both methods. Key steps are outlined, such as setting the calculator to the correct mode and using appropriate functions to find intersections or zeros.
elimination
The document discusses using the elimination method to solve systems of linear equations by eliminating one variable, substituting values into the original equations to solve for the remaining variable, and checking that the solutions satisfy both equations. It provides step-by-step examples of using the elimination method to solve two systems of linear equations, eliminating variables by adding or multiplying equations. The document concludes with practice problems for students to solve systems of linear equations using the elimination method.
Linear inequalities in two variables
The document discusses linear inequalities in two variables and their graphical representations. It introduces the Cartesian coordinate system developed by Rene Descartes and its importance. It explains how to graph linear inequalities by first drawing the line as an equation, then determining whether to shade above or below the line based on whether a test point satisfies the inequality. Students are assigned to bring graphing paper, coloring materials, and a ruler to class on Monday to graph linear inequalities.
Jawapan matriks spM LATIH TUBI 2015
1. The document contains solutions and marking schemes for 6 math questions. It provides the step-by-step working to solve systems of equations, inverse matrices, and other math problems.
2. Matrices, inverse matrices, and systems of linear equations are used to solve for variables like x, y, m, n. Values for the variables are obtained after performing algebraic operations on the equations.
3. Marking schemes provide the number of marks awarded for various parts of the questions.
Ways to construct Triangles in an mxn Array of Dots
1. The document describes research to find the relationship between the number of triangles that can be constructed in an m x n array of dots.
2. The researchers used a counting stage and formularizing stage. In the counting stage, they drew arrays and counted the triangles. In the formularizing stage, they broke the arrays into rows to derive formulas relating m, n, and the number of triangles.
3. Formulas were derived for 3xn, 4xn, and 5xn arrays. The formulas found relationships between the size of the array and the number of triangles possible.
Ch02 se
This document discusses key concepts related to graphing and the rectangular coordinate system. It introduces plotting points in the coordinate plane using ordered pairs (x,y) and defining the four quadrants. It also presents the midpoint formula for finding the midpoint between two points on a line segment by taking the average of the x-coordinates and y-coordinates. An example applies the midpoint formula to find the meeting point for two hikers located at different points on a map.
Quadraticfuntions
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a is not equal to zero. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and finding the standard form makes it easy to identify the vertex.
Lecture 07 graphing linear equations
This document provides an overview of graphing linear equations. It defines key terms like solutions, intercepts, and linear models. Examples are given to show how to graph equations by finding intercepts or using a table of points. Horizontal and vertical lines are discussed as special cases of linear equations. The document concludes with an example of using a linear equation to model a real-world situation involving monthly phone costs.
Mama march 13
1. The document is a math test for Form 4 Additional Mathematics students. It consists of two sections - Section A and Section B worth 40 and 20 marks respectively.
2. Section A contains 10 multiple part math questions testing students on relations, functions, roots of quadratic equations, and graphing. Section B contains 3 multi-part math problems on composite functions, forming quadratic equations from given roots, and solving quadratics by completing the square.
3. Students are instructed to show their working, use a scientific calculator, and write answers for Section A in the test paper and Section B on answer sheets. Diagrams are not to scale unless stated.
F4 chapter 2_teacher's_assignment_(4_w&4y_must_hand_in)
This document is a math assignment sheet for solving quadratic equations through different methods. Students are asked to solve quadratic equations using factoring, taking square roots, and the quadratic formula. They also need to find the discriminant and determine the nature of roots for various equations. The assignment is due on March 10th, 2014 for a Form 4 mathematics class.
Geometric mean
Geometric means are the terms between non-consecutive terms of a geometric sequence. If A1, A2, .....An-1, An is a geometric sequence, then the numbers A2,.....,An-1 are the geometric means between A1 and An. Three examples are provided to illustrate how to find geometric means between given numbers: inserting geometric means between 1 and 81, between 8 and 512, and finding the single geometric mean between 5 and 8.
Mathematics Project Slides 1199456490678403 2
1. The document describes research to find the relationship between the number of triangles that can be constructed in an m x n array of dots.
2. The researchers used a counting stage and formularizing stage. In the counting stage, they drew sample arrays and counted the triangles. In the formularizing stage, they broke the arrays into rows of three dots and derived formulas relating the number of triangles to m and n.
3. They derived separate formulas for 3xn, 4xn, and 5xn arrays and found that the number of triangles follows a predictable relationship based on the size of the m x n array.
equation of the line using two point form
This document discusses using the two-point form to find the equation of a line given two points. It provides the two-point form equation, examples of using the form to find the slope and y-intercept of lines, and practice problems for determining the equation of lines passing through two points. The goal is to determine the equation in slope-intercept form using the two-point form equation and substituting the x- and y-coordinates of the two points.
Sma2272 statistics civil_eng
This document contains 5 questions regarding statistics for a civil engineering exam. Question 1 has multiple parts asking about differences between types of random variables and errors, calculating values for a probability distribution, and constructing a confidence interval. Question 2 asks about showing an estimator is unbiased, determining the most likely analytical plan used based on defect rates, and finding probabilities related to the number of cars repaired at a garage. Question 3 concerns modeling the number of machines breaking down using a probability distribution and determining if a claimed mean is significantly different. Question 4 asks about properties of point estimators, determining a correlation coefficient, and calculating an acceptance proportion. Question 5 is about stating the central limit theorem, performing a chi-square test, and finding properties of a probability
linear_equations_in_two_variables
The document provides examples of linear equations in two variables and their solutions. It begins by giving examples of writing linear equations from word problems and expressing equations in the form ax + by + c = 0. It then gives examples of finding solutions to different linear equations by substitution. The document also demonstrates drawing graphs of various linear equations. It concludes by asking students to identify linear equations from their graphs.
15.1 solving systems of equations by graphing
The document discusses solving systems of linear equations and inequalities through graphing. It presents examples of determining if an ordered pair is a solution to a system, graphing systems on coordinate planes to find their point of intersection as the solution, and identifying special cases where systems have no solution or an infinite number of solutions. Three key cases are described: 1) a single solution where graphs intersect at one point, 2) no solution where graphs are parallel lines, and 3) infinite solutions where graphs are the same line.
Linear, quardratic equations
This document provides an introduction to different types of equations including linear equations, simultaneous equations, and quadratic equations. It defines an equation as a statement of equality between two quantities. Linear equations are those where the highest power of the unknown is one. Simultaneous equations contain two or more unknowns and can be solved using substitution or row operations. Quadratic equations contain terms with powers of the unknown up to two and can be solved using factorization, completing the square, or the quadratic formula. Examples are provided for solving each type of equation. The objectives and end questions review solving these different equation types.
0580 s06 qp_2
This document is an exam for the International General Certificate of Secondary Education (IGCSE) in mathematics. It consists of 23 multiple choice and written response questions testing a variety of math skills, including:
- Writing numbers in standard form
- Finding the range, prime numbers, fractions, and percentages
- Solving equations and inequalities
- Factoring expressions
- Calculating areas, volumes, and ratios
- Sketching graphs and geometric shapes
The exam covers topics such as algebra, geometry, trigonometry, and statistics, and is designed to evaluate students' mastery of core mathematics concepts and procedures.
11.1 linear equations in two variables
This document discusses graphs of linear equations and inequalities in two variables. It covers interpreting graphs, writing solutions as ordered pairs, deciding if an ordered pair is a solution to an equation, completing ordered pairs, completing tables of values, and plotting ordered pairs on a coordinate plane. The objectives are to be able to perform each of these tasks related to linear equations in two variables represented in rectangular coordinate systems.
Linear equations in two variables
This presentation include various methods of solving linear equations like substitution, elimination and cross-multiplication method.
Trigonometric equations
1. The document discusses solving trigonometric equations by finding their general solutions. It provides the solutions to 24 example trigonometric equations in terms of radian angles.
2. The equations involve trigonometric functions like sine, cosine, and tangent, and require expressing the solutions in terms of n, where n is any integer.
3. Some equations have multiple solutions provided as intervals for n, while others have specific solutions provided to three decimal places where appropriate.
lesson7-1The KineticTheory of gases
The document provides an overview of the kinetic theory of gases. It explains that the kinetic theory can be used to understand phenomena like why basketballs seem flat after being left in the cold. It also describes some key concepts like how gases take the shape and volume of their container, how the amount of gas is determined by temperature and pressure rather than volume, and how ideal gases differ from real gases. It then discusses pressure, temperature, and standard temperature and pressure (STP) in more detail.
More Related Content
What's hot
elimination
The document discusses using the elimination method to solve systems of linear equations by eliminating one variable, substituting values into the original equations to solve for the remaining variable, and checking that the solutions satisfy both equations. It provides step-by-step examples of using the elimination method to solve two systems of linear equations, eliminating variables by adding or multiplying equations. The document concludes with practice problems for students to solve systems of linear equations using the elimination method.
Linear inequalities in two variables
The document discusses linear inequalities in two variables and their graphical representations. It introduces the Cartesian coordinate system developed by Rene Descartes and its importance. It explains how to graph linear inequalities by first drawing the line as an equation, then determining whether to shade above or below the line based on whether a test point satisfies the inequality. Students are assigned to bring graphing paper, coloring materials, and a ruler to class on Monday to graph linear inequalities.
Jawapan matriks spM LATIH TUBI 2015
1. The document contains solutions and marking schemes for 6 math questions. It provides the step-by-step working to solve systems of equations, inverse matrices, and other math problems.
2. Matrices, inverse matrices, and systems of linear equations are used to solve for variables like x, y, m, n. Values for the variables are obtained after performing algebraic operations on the equations.
3. Marking schemes provide the number of marks awarded for various parts of the questions.
Ways to construct Triangles in an mxn Array of Dots
1. The document describes research to find the relationship between the number of triangles that can be constructed in an m x n array of dots.
2. The researchers used a counting stage and formularizing stage. In the counting stage, they drew arrays and counted the triangles. In the formularizing stage, they broke the arrays into rows to derive formulas relating m, n, and the number of triangles.
3. Formulas were derived for 3xn, 4xn, and 5xn arrays. The formulas found relationships between the size of the array and the number of triangles possible.
Ch02 se
This document discusses key concepts related to graphing and the rectangular coordinate system. It introduces plotting points in the coordinate plane using ordered pairs (x,y) and defining the four quadrants. It also presents the midpoint formula for finding the midpoint between two points on a line segment by taking the average of the x-coordinates and y-coordinates. An example applies the midpoint formula to find the meeting point for two hikers located at different points on a map.
Quadraticfuntions
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a is not equal to zero. The graph of a quadratic function is a parabola, which is symmetric around its axis of symmetry. Any quadratic function can be written in standard form by completing the square, where the standard form is f(x) = a(x-h)^2 + k. The vertex of the parabola is the point (h, k) and finding the standard form makes it easy to identify the vertex.
Lecture 07 graphing linear equations
This document provides an overview of graphing linear equations. It defines key terms like solutions, intercepts, and linear models. Examples are given to show how to graph equations by finding intercepts or using a table of points. Horizontal and vertical lines are discussed as special cases of linear equations. The document concludes with an example of using a linear equation to model a real-world situation involving monthly phone costs.
Mama march 13
1. The document is a math test for Form 4 Additional Mathematics students. It consists of two sections - Section A and Section B worth 40 and 20 marks respectively.
2. Section A contains 10 multiple part math questions testing students on relations, functions, roots of quadratic equations, and graphing. Section B contains 3 multi-part math problems on composite functions, forming quadratic equations from given roots, and solving quadratics by completing the square.
3. Students are instructed to show their working, use a scientific calculator, and write answers for Section A in the test paper and Section B on answer sheets. Diagrams are not to scale unless stated.
F4 chapter 2_teacher's_assignment_(4_w&4y_must_hand_in)
This document is a math assignment sheet for solving quadratic equations through different methods. Students are asked to solve quadratic equations using factoring, taking square roots, and the quadratic formula. They also need to find the discriminant and determine the nature of roots for various equations. The assignment is due on March 10th, 2014 for a Form 4 mathematics class.
Geometric mean
Geometric means are the terms between non-consecutive terms of a geometric sequence. If A1, A2, .....An-1, An is a geometric sequence, then the numbers A2,.....,An-1 are the geometric means between A1 and An. Three examples are provided to illustrate how to find geometric means between given numbers: inserting geometric means between 1 and 81, between 8 and 512, and finding the single geometric mean between 5 and 8.
Mathematics Project Slides 1199456490678403 2
1. The document describes research to find the relationship between the number of triangles that can be constructed in an m x n array of dots.
2. The researchers used a counting stage and formularizing stage. In the counting stage, they drew sample arrays and counted the triangles. In the formularizing stage, they broke the arrays into rows of three dots and derived formulas relating the number of triangles to m and n.
3. They derived separate formulas for 3xn, 4xn, and 5xn arrays and found that the number of triangles follows a predictable relationship based on the size of the m x n array.
equation of the line using two point form
This document discusses using the two-point form to find the equation of a line given two points. It provides the two-point form equation, examples of using the form to find the slope and y-intercept of lines, and practice problems for determining the equation of lines passing through two points. The goal is to determine the equation in slope-intercept form using the two-point form equation and substituting the x- and y-coordinates of the two points.
Sma2272 statistics civil_eng
This document contains 5 questions regarding statistics for a civil engineering exam. Question 1 has multiple parts asking about differences between types of random variables and errors, calculating values for a probability distribution, and constructing a confidence interval. Question 2 asks about showing an estimator is unbiased, determining the most likely analytical plan used based on defect rates, and finding probabilities related to the number of cars repaired at a garage. Question 3 concerns modeling the number of machines breaking down using a probability distribution and determining if a claimed mean is significantly different. Question 4 asks about properties of point estimators, determining a correlation coefficient, and calculating an acceptance proportion. Question 5 is about stating the central limit theorem, performing a chi-square test, and finding properties of a probability
linear_equations_in_two_variables
The document provides examples of linear equations in two variables and their solutions. It begins by giving examples of writing linear equations from word problems and expressing equations in the form ax + by + c = 0. It then gives examples of finding solutions to different linear equations by substitution. The document also demonstrates drawing graphs of various linear equations. It concludes by asking students to identify linear equations from their graphs.
15.1 solving systems of equations by graphing
The document discusses solving systems of linear equations and inequalities through graphing. It presents examples of determining if an ordered pair is a solution to a system, graphing systems on coordinate planes to find their point of intersection as the solution, and identifying special cases where systems have no solution or an infinite number of solutions. Three key cases are described: 1) a single solution where graphs intersect at one point, 2) no solution where graphs are parallel lines, and 3) infinite solutions where graphs are the same line.
Linear, quardratic equations
This document provides an introduction to different types of equations including linear equations, simultaneous equations, and quadratic equations. It defines an equation as a statement of equality between two quantities. Linear equations are those where the highest power of the unknown is one. Simultaneous equations contain two or more unknowns and can be solved using substitution or row operations. Quadratic equations contain terms with powers of the unknown up to two and can be solved using factorization, completing the square, or the quadratic formula. Examples are provided for solving each type of equation. The objectives and end questions review solving these different equation types.
0580 s06 qp_2
This document is an exam for the International General Certificate of Secondary Education (IGCSE) in mathematics. It consists of 23 multiple choice and written response questions testing a variety of math skills, including:
- Writing numbers in standard form
- Finding the range, prime numbers, fractions, and percentages
- Solving equations and inequalities
- Factoring expressions
- Calculating areas, volumes, and ratios
- Sketching graphs and geometric shapes
The exam covers topics such as algebra, geometry, trigonometry, and statistics, and is designed to evaluate students' mastery of core mathematics concepts and procedures.
11.1 linear equations in two variables
This document discusses graphs of linear equations and inequalities in two variables. It covers interpreting graphs, writing solutions as ordered pairs, deciding if an ordered pair is a solution to an equation, completing ordered pairs, completing tables of values, and plotting ordered pairs on a coordinate plane. The objectives are to be able to perform each of these tasks related to linear equations in two variables represented in rectangular coordinate systems.
Linear equations in two variables
This presentation include various methods of solving linear equations like substitution, elimination and cross-multiplication method.
What's hot (19)
Ways to construct Triangles in an mxn Array of Dots
Ways to construct Triangles in an mxn Array of Dots
F4 chapter 2_teacher's_assignment_(4_w&4y_must_hand_in)
F4 chapter 2_teacher's_assignment_(4_w&4y_must_hand_in)
Viewers also liked
Trigonometric equations
1. The document discusses solving trigonometric equations by finding their general solutions. It provides the solutions to 24 example trigonometric equations in terms of radian angles.
2. The equations involve trigonometric functions like sine, cosine, and tangent, and require expressing the solutions in terms of n, where n is any integer.
3. Some equations have multiple solutions provided as intervals for n, while others have specific solutions provided to three decimal places where appropriate.
lesson7-1The KineticTheory of gases
The document provides an overview of the kinetic theory of gases. It explains that the kinetic theory can be used to understand phenomena like why basketballs seem flat after being left in the cold. It also describes some key concepts like how gases take the shape and volume of their container, how the amount of gas is determined by temperature and pressure rather than volume, and how ideal gases differ from real gases. It then discusses pressure, temperature, and standard temperature and pressure (STP) in more detail.
plain graph
This single sentence document provides a link to a website where users can obtain free plain graph paper downloads. The link directs to the incompetech.com domain and further specifies the graphpaper/plain section for obtaining the resource. In summary, free plain graph paper can be accessed via the provided web link.
Copy of Simple Lesson Plan
This lesson plan is for a 7th grade social studies class. It outlines educational standards, objectives to be learned including skills and information, required materials, other resources, how information will be given and understood by students, steps to check understanding, and a concluding activity. The activity will reinforce the lesson through a class assignment involving the lesson topics.
Html block
An HTML block allows adding text, images, and other media to course pages using HTML markup. It has a built-in editor for formatting and embedding videos, sounds, and other files. To add an HTML block, an instructor turns on editing, selects the HTML block from the add menu, and pastes or writes HTML code into the block's configuration page. For example, a search widget can be added by finding widget code online, copying it, and pasting into the HTML block before saving changes.
Viewers also liked (7)
Similar to 2012 s1s mathut1
Test yourself for JEE(Main)TP-4
This document provides 30 mathematics questions with multiple choice answers for a JEE Main exam practice test. It includes instructions that there are 120 total marks, each question is worth 4 marks, and a 1/4 mark deduction for incorrect answers. The questions cover a range of mathematics topics including trigonometry, coordinate geometry, algebra, calculus, and probability.
Aakash JEE Advance Solution Paper1
The document provides information about the format and marking scheme of the JEE (Advanced) exam from 2013, including:
- The exam has 3 parts (Physics, Chemistry, Mathematics) with 3 sections each: multiple choice with single correct answer, multiple choice with one or more correct answers, and questions with single-digit answers.
- Sections 1 and 3 award marks for correct answers and deduct marks for incorrect answers. Section 2 awards marks only for fully correct answers and deducts marks otherwise.
- An example question is provided for Section 1 of the Physics part of the exam.
Test yourself for JEE(Main)TP-3
This document provides 30 multiple choice questions for a JEE mathematics exam. It includes instructions that there are 4 marks for each correct answer, a deduction of 1 mark for incorrect answers, and no deduction for unanswered questions. The maximum total marks are 120. The questions cover topics in trigonometry, coordinate geometry, calculus, matrices and other areas of mathematics.
Test yourself for JEE(Main)TP-2
This document contains 30 multiple choice questions related to mathematics for a JEE exam preparation test. It provides instructions that each question is worth 4 marks and 1 mark will be deducted for incorrect answers. The maximum total marks for the test are 120. The questions cover topics in trigonometry, algebra, geometry and calculus.
Module 3 plane coordinate geometry
This module discusses coordinate proofs and properties of circles on the coordinate plane. It introduces coordinate proofs as an analytical method of proving geometric theorems by using the coordinates of points and algebraic relationships. Examples demonstrate proving properties of triangles and quadrilaterals analytically. The standard form of the equation of a circle is derived from the distance formula as (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius. Finding the center, radius, and equation of circles in various forms are illustrated.
Test yourself for JEE(Main)TP-5
This document provides information about a mathematics test from Joglekar Mathematics Point in Kota, India. It includes 30 questions for the JEE Main exam with instructions. Each question is worth 4 marks for a correct response and there is a 1 mark deduction for an incorrect response. The maximum total marks for the test are 120. The document then lists the 30 questions and possible multiple choice answers for each.
IIT JEE 2013 Solved Paper by Prabhat Gaurav
The document provides information about the JEE Advanced 2013 exam, including sample questions from Physics, Chemistry, and Mathematics. It outlines the format and structure of the exam, with three main sections. Section 1 contains multiple choice questions where one or more options may be correct. Section 2 has questions related to paragraphs describing concepts, and each question has a single correct answer. Section 3 also contains multiple choice questions related to paragraphs. The document provides examples of questions asked in previous JEE Advanced exams to help students prepare.
Q addmaths 2011
This document provides sample exam questions from SPM 2011 organized by topic and paper. It includes 25 questions from Additional Mathematics Paper 1 and 15 questions from Paper 2. For each question, the topic and number of marks are indicated. An answer key is provided that references a website for detailed solutions. The questions cover a range of Additional Mathematics concepts including quadratic equations, functions, trigonometry, calculus, vectors, probability and statistics.
☆中高考综合报告[英]
This document summarizes and compares different types of math education assessments used in China, including school-based assessments, entrance examinations, and competitions. It discusses the purposes and formats of exams at different levels from junior high school to university entrance. It also describes the processes of setting exam papers and marking assessments. While exams are useful, over-reliance on them can have drawbacks for long-term student development.
Civil engineering mock test
The document provides instructions for a mock test paper on civil engineering. It consists of 65 multiple choice questions worth a total of 100 marks. Questions 1-25 and 56-60 carry 1 mark each, while questions 26-55 and 61-65 carry 2 marks each. Questions will cover both civil engineering topics and general aptitude. There are negative marks for incorrect answers. Calculators are allowed but no other aids. The purpose is to simulate exam conditions and help identify strengths and weaknesses to guide further preparation.
Revised marking scheme of class 12 maths.pdf
This document contains the marking scheme for Class XII Mathematics exam with multiple choice questions and short/long answer questions divided into different sections. It provides the question numbers, answers/solutions and marks allocated for each part. The key details summarized are:
1) It contains multiple choice questions (1 mark each) and short/long answer questions ranging from 2-5 marks each divided into sections A to E.
2) Section A contains 20 multiple choice questions with hints/solutions. Section B contains 2 mark very short answer questions.
3) Sections C, D and E contain short answer questions of 3, 5 and 4 marks respectively involving diagrams, calculations and case studies/passages.
4)
IIT JEE 2013 Solved Paper by Prabhat Gaurav
1. The document provides information about the JEE Advanced 2013 exam paper, including instructions, format, and marking scheme. It provides sample questions from Physics, Chemistry, and Math sections.
2. Several questions are marked with an asterisk, indicating they are from class 11 topics and can be attempted as a practice test within allocated time limits.
3. The paper contains three sections - multiple choice with single correct answer, multiple choice with one or more correct answers, and questions with a single digit integer answer.
Copy of EMTAP PPT G10 Q2 S5 MARINO CUDIA.pptx
This document outlines a webinar session on teaching mathematics using enhanced methods. The session objectives are to recall distance and midpoint formulas, apply the distance formula to prove geometric properties, and solve coordinate plane problems accurately. Examples are provided to demonstrate using the distance formula to find distances between points and the midpoint formula. Guidelines for coordinate proofs are outlined. Sample problems are given and solved involving applying the distance formula to prove properties like triangles and quadrilaterals being isosceles or rhombus. Participants are asked questions and directed to complete an activity applying concepts to a word problem involving distances on a map. The presentation emphasizes the importance of learning and willingness to learn new skills and concepts.
Chapter 11 three_dimensional_geometry
This document contains solutions to practice problems about direction cosines and direction ratios of lines in three-dimensional space. It begins with five questions about finding the direction cosines of lines given information about their angles with the coordinate axes. Subsequent questions involve determining whether lines are parallel, perpendicular or collinear based on their direction ratios. The document also covers finding equations of lines in vector and Cartesian forms.
4th Semester CS / IS (2013-June) Question Papers
4th Semester CS / IS (2013-June) Question Papers BGS Institute of Technology, Adichunchanagiri University (ACU)
The document contains questions from a B.E. Degree Examination in Engineering Mathematics. It has two parts - Part A and Part B containing a total of 8 questions. The questions cover topics in graph theory, combinatorics, probability, differential equations and their solutions. Students are required to attempt 5 questions selecting at least 2 from each part.exam1 unsolved
This three sentence summary provides the key details about the document:
The document appears to be for a major exam for an electrical engineering course, as it lists the date, time, location, and instructors for the exam and includes 4 problems to be answered. It provides instructions that the exam is closed book, lasts 1.5 hours, and to clearly label sketches. The problems cover topics like probability, conditional probability, networks, and Gaussian random variables.
distance_and_midpoint_formulas_powerpoint.pptx
The document explains the distance and midpoint formulas for finding the distance between two points and the midpoint of a line segment between two points. It provides the formulas, sings them to familiar tunes for memorization, and includes examples of using the formulas to calculate distances and midpoints and find missing coordinates. It also shows how to find the equation of a line perpendicular to the midpoint of two points.
distance_and_midpoint_formulas_powerpoint.pptx
The document explains the distance and midpoint formulas for finding the distance between two points and the midpoint of a line segment between two points. It provides the formulas, sings them to familiar tunes for memorization, and includes examples of using the formulas to calculate distances and midpoints and find missing coordinates. It also shows how to find the equation of a line perpendicular to the midpoint of two points.
Cbse Class 12 Maths Sample Paper 2012-13
cbse 12 class maths sample paper 2012-13 - http://cbse.edurite.com/cbse-maths/cbse-class-12-maths.html
Maths IB Important
Jr imp, Maths IB Important, Mathematics IB, Mathematics, Jr. Maths, Mathematics AP board, Mathematics important, Maths AP Board, Inter Maths IB, Inter Maths IB Important.
Similar to 2012 s1s mathut1 (20)
Recently uploaded
一比一原版(毕业证书)马来西亚双威大学毕业证如何办理
原版一模一样【微信：741003700 】【(毕业证书)马来西亚双威大学毕业证成绩单】【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(毕业证书)马来西亚双威大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(毕业证书)马来西亚双威大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(毕业证书)马来西亚双威大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(毕业证书)马来西亚双威大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Inca Trail to Machu Picchu An Unforgettable Adventure
The Inca Trail to Machu Picchu is an unforgettable adventure, blending stunning natural beauty with rich history. Over four days, trekkers traverse diverse landscapes, from lush cloud forests to high mountain passes, encountering ancient Inca ruins along the way. Each step brings you closer to the awe-inspiring sight of Machu Picchu, revealed at sunrise from the Sun Gate. The journey is challenging but incredibly rewarding, offering a profound sense of accomplishment. With its combination of breathtaking scenery and cultural significance, the Inca Trail to Machu Picchu is a must-do for those seeking an extraordinary adventure in Peru.
Frontier Airlines at Boston Logan International Airport (BOS) Comprehensive G...
Frontier Airlines at Boston Logan International Airport (BOS) Comprehensive G...AirportCityTerminals Terminals
Traveling with Frontier Airlines through Boston Logan International Airport offers a budget-friendly and efficient experience. With the modern facilities at Terminal C, extensive services, and amenities provided by Frontier, passengers can enjoy a comfortable journey. Whether you're a frequent flyer or a first-time traveler, this guide aims to help you navigate BOS with ease and make the most of your trip.How Safe Is Manta Ray Night Snorkeling In Kona
Discover the exhilarating world of manta ray night snorkeling in Kona, Hawaii. Led by expert guides, participants witness these majestic creatures feeding on plankton under mesmerizing underwater lights. With stringent safety measures, environmental responsibility, and emergency preparedness, enjoy this unique adventure responsibly and securely with trusted tour operators.
Colombia Historical Tour - savvytravelers
Discover Colombia's history with a specialized historical tour by Savvy Travelers!
Southwest Airlines Low Fare Calendar: The Ultimate Guide
Travelling doesn't have to be expensive, especially with tools like the Southwest Airlines Low Fare Calendar at your disposal. This guide will take you through everything you need to know about using this feature to snag the best deals on your flights. Whether you're a seasoned traveller or planning your first trip, this guide will ensure you get the most out of your budget.
一比一原版(UST毕业证)圣托马斯大学毕业证如何办理
UST毕业证offer【微信95270640】☀《圣托马斯大学毕业证购买》GoogleQ微信95270640《UST毕业证模板办理》加拿大文凭、本科、硕士、研究生学历都可以做,二、业务范围：
★、全套服务：毕业证、成绩单、化学专业毕业证书伪造《圣托马斯大学大学毕业证》Q微信95270640《UST学位证书购买》
文凭办理流程：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：微信95270640我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。
7完成交易删除客户资料
高精端提供以下服务：
一：圣托马斯大学圣托马斯大学硕士学位证成绩单全套材料从防伪到印刷水印底纹到钢印烫金
二：真实使馆认证（留学人员回国证明）使馆存档
三：真实教育部认证教育部存档教育部留服网站可查
四：留信认证留学生信息网站可查
五：与学校颁发的相关证件1:1纸质尺寸制定（定期向各大院校毕业生购买最新版本毕,业证成绩单保证您拿到的是鲁昂大学内部最新版本毕业证成绩单微信95270640）
A.为什么留学生需要操作留信认证?
留信认证全称全国留学生信息服务网认证,隶属于北京中科院。①留信认证门槛条件更低,费用更美丽,并且包过,完单周期短,效率高②留信认证虽然不能去国企,但是一般的公司都没有问题,因为国内很多公司连基本的留学生学历认证都不了解。这对于留学生来说,这就比自己光拿一个证书更有说服力,因为留学学历可以在留信网站上进行查询!
B.为什么我们提供的毕业证成绩单具有使用价值？
查询留服认证是国内鉴别留学生海外学历的唯一途径但认证只是个体行为不是所有留学生都操作所以没有办理认证的留学生的学历在国内也是查询不到的他们也仅仅只有一张文凭。所以这时候我们提供的和学校颁发的一模一样的毕业证成绩单就有了使用价值。乌龟和王八贼头贼脑的倒也逗人喜爱日上三竿时山娃总爱窜进自家瓜棚里跟小伙伴们坐着聊天聊着聊着便忍不住往瓜田里逡巡一番抱起一只硕大的西瓜用石刀劈开抑或用拳头砸开每人抱起一大块就啃啃得满嘴满脸猴屁股般的红艳大家一个劲地指着对方吃吃地笑瓜裂得古怪奇形怪状却丝毫不影响瓜味甜丝丝的满嘴生津遍地都是瓜横七竖八的活像掷满了一地的大石块摘走二三只爷爷是断然发现不了的即便发现爷爷也不恼反而教山娃辨认孰熟孰嫩孰甜孰淡水
Bahrain Visa For Indians, Complete Process
Our Bahrain Visa PowerPoint Presentation offers a detailed and comprehensive guide to the Bahrain visa application process. It is designed to assist travelers, travel agents, and businesses in navigating the various visa types, including tourist, business, work, student, and family visas. Each section provides an in-depth look at eligibility criteria, required documents, and step-by-step application procedures. Additionally, the presentation includes valuable tips for avoiding common application mistakes, an overview of processing times, and details on fees and payment methods. This presentation aims to ensure a smooth and successful visa application experience, making travel to Bahrain as seamless as possible.
What Should You Expect On Austin's History Tour
Explore Austin's dynamic history and cultural tapestry on a captivating journey. From its origins as Texas' capital to architectural marvels like the Texas State Capitol and cultural hubs such as the Driskill Hotel. Dive into its diverse heritage, legendary music scene, key historical moments, natural beauty, and vibrant culinary delights.
定制(cardiff学位证书)英国卡迪夫大学毕业证本科学历原版一模一样
原版定制【微信:bwp0011】《(cardiff学位证书)英国卡迪夫大学毕业证本科学历》【微信:bwp0011】成绩单 、雅思、外壳、留信学历认证永久存档查询，采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信bwp0011】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信bwp0011】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
What Is The United Airlines Change Name Policy?
Passengers who request name modification after the risk-free period have to pay the United Airlines name change fee. Furthermore, in some cases, travelers have to pay the difference in fare if applicable. The airline doesn’t permit you to make other modifications (date change, fare classes, time, etc) under the name correction policy. Moreover, before you proceed, you must get all related information comprehensively. For that, you can call the consolidation desk at +1-800-865-1848 and get instant response.
ghmc zones and circle and why they are needed
The Greater Hyderabad Municipal Corporation (GHMC) plays a pivotal role in the administration and development of Hyderabad
American Airlines Name Change Policy Highlights.pptx
With the American Airlines name change policy, you can alter the incorrect name on your flight ticket/boarding pass without any fuss. Therefore, it’s essential to understand the major guidelines before requesting a name change/correction. However, if you still encounter any issues, you can navigate to the AA website or approach the airline over the phone. Additionally, you can talk with a flight expert at +1-866-738-0741 to get your problem fixed in a few minutes.
09 Days Tour To Skardu(By Road): Skardu Ambassador Tours
The 09 Days Tour to Skardu by road offers a breathtaking journey through some of Pakistan’s most spectacular landscapes. Skardu, nestled in the heart of the Karakoram mountain range, is renowned for its stunning vistas, crystal-clear lakes, and rugged terrain.
What Budget-Friendly Attractions Does San Antonio Offer For Families
A list of budget-friendly things that families can do in San Antonio! Dive into its rich history and vibrant culture at iconic landmarks like the Alamo. Explore colorful Market Square and stroll along the scenic River Walk. Enjoy family-friendly fun at Brackenridge Park and capture breathtaking views at the Tower of the Americas—all without breaking the bank!
Recently uploaded (17)
Inca Trail to Machu Picchu An Unforgettable Adventure
Inca Trail to Machu Picchu An Unforgettable Adventure
Frontier Airlines at Boston Logan International Airport (BOS) Comprehensive G...
Frontier Airlines at Boston Logan International Airport (BOS) Comprehensive G...
Southwest Airlines Low Fare Calendar: The Ultimate Guide
Southwest Airlines Low Fare Calendar: The Ultimate Guide
American Airlines Name Change Policy Highlights.pptx
American Airlines Name Change Policy Highlights.pptx
09 Days Tour To Skardu(By Road): Skardu Ambassador Tours
09 Days Tour To Skardu(By Road): Skardu Ambassador Tours
What Budget-Friendly Attractions Does San Antonio Offer For Families
What Budget-Friendly Attractions Does San Antonio Offer For Families
2012 s1s mathut1
- 1. Foon Yew High School Johor Bahru Senior One Science Mathematics Unified Test (1) 16-2-2012 7.30am-8.15am Name:_________________( ) Student ID No. : ________________ Class : Sen ior One Science ( ) Calculator can be used. Attempt all the questions. 1. The vertices of ABC are A(0, 5), B( 2,1) and C (10, k ). Find the value of k if ABC 90 . (12%) 2. Find the area of the pentagon with vertices (2, 3), (3, 1), (2, 0), ( 1,1) and ( 2, 1). (12%) 3. Find the equation of the line passing through the point ( 2,3) and parallel to the line 2 x 3 y 3 0 . (12%) 4. Find the equation of the bisector of the of the acute angle between the lines 5 x 12 y 10 0 and 3x 4 y 20 0. (12%) 5. Find the locus of the point P which moves such that its distance from the point (2, 1) is constant and equal to 3 units. (13%) 6. Find the circumcentre of a given triangle whose vertices are A(1, 2), B(3, 4) and C (0,3) . (13%) 7. The graph of x2 y against x is a straight line passing through ( 2,1) and (2, 7) .Find 10 (a) the value of x when y x2 (b) y in terms of x. (13%) 8. The midpoint of the line joining the points A(7,3) and B( 1, 5) is M .Find both values of k if the straight line joining M to the point P(k 2 , k ) is perpendicular to AB . (13%)