Kom 3
•Download as DOCX, PDF•
0 likes•5 views
This document discusses determining the inverse function formula of f(x) = 2x + 6. The inverse function of f(x) is f^-1(x) = (x - 6)/2. To find the inverse function, interchange x and y and solve the original equation for y in terms of x.
Report
Share
Report
Share
Recommended
4.3 Logarithmic Functions
Solve an exponential equation using base 10 logarithms.
Find the missing part of a logarithm equation.
Use properties of logarithms to solve problems.
Root Equations Methods
This document discusses various graphical and numerical methods for finding the roots or zeros of equations, including interval methods like bisection, the false position method, open methods like Newton-Raphson and secant methods, and fixed point methods. Interval methods use initial lower and upper bounds to repeatedly narrow the range containing the root. Open methods take initial values and generate successive approximations converging on the root through techniques like drawing tangents or divided differences. Fixed point methods analyze convergence based on the form of iteration used to find a solution.
3.4 Polynomial Functions and Their Graphs
Identify the end behavior of a function
Use the Intermediate Value Theorem and the Boundedness Theorem to locate zeros of a function.
3.2.2 elimination
To solve a system of linear equations algebraically, the elimination method can be used which involves multiplying terms to create additive inverses and adding the equations together to solve for one variable, then substituting this value back into one of the original equations to solve for the other variable, providing the solution as an ordered pair. No solution occurs when the equations are identical after being combined.
Roots of equations
This document discusses methods for finding the roots of equations. It begins by explaining the importance of determining roots and how it relates to other mathematical problems. It then outlines different types of methods including graphical methods, which provide initial estimates but lack precision, and closed methods, which limit the search domain. Specific closed methods discussed include bisection, false position, fixed point, Newton-Raphson, and secant methods. Graphics are provided to illustrate each method.
Presentation5
This document discusses using the homotopy perturbation method to solve integral equations. It begins by introducing the homotopy perturbation method and how it can be used to find approximate solutions to problems by considering the solution as a sum of an infinite series. It then shows how to apply the method to solve Fredholm and Volterra integral equations of the second kind by constructing a homotopy and obtaining iteration formulas. The document concludes that the homotopy perturbation method provides sufficient conditions for the convergence of solutions to integral equations and integro-differential equations.
Fourier series (MT-221)
Fourier series represent periodic functions as the sum of sines and cosines. They break functions down into simple terms that can be solved individually and then recombined to approximate the original function to any desired accuracy. Fourier series are written as the sum of a constant term and coefficients multiplied by sine and cosine terms, with the coefficients of either sines or cosines being zero if the original function is even or odd, respectively.
Regulafalsi_bydinesh
This document describes the False Position Method for finding the roots of equations. The method uses linear interpolation to estimate the root between two initial guesses that bracket it. It improves on the bisection method by choosing a "false position" where the line between the guesses crosses the x-axis, rather than the midpoint. The false position formula is derived using similar triangles. An example applying the method to find a root of x^3 - 2x - 3 = 0 is shown. The merits of the false position method are faster convergence compared to bisection, while the demirits are possible non-monotonic convergence and lack of precision guarantee.
Recommended
4.3 Logarithmic Functions
Solve an exponential equation using base 10 logarithms.
Find the missing part of a logarithm equation.
Use properties of logarithms to solve problems.
Root Equations Methods
This document discusses various graphical and numerical methods for finding the roots or zeros of equations, including interval methods like bisection, the false position method, open methods like Newton-Raphson and secant methods, and fixed point methods. Interval methods use initial lower and upper bounds to repeatedly narrow the range containing the root. Open methods take initial values and generate successive approximations converging on the root through techniques like drawing tangents or divided differences. Fixed point methods analyze convergence based on the form of iteration used to find a solution.
3.4 Polynomial Functions and Their Graphs
Identify the end behavior of a function
Use the Intermediate Value Theorem and the Boundedness Theorem to locate zeros of a function.
3.2.2 elimination
To solve a system of linear equations algebraically, the elimination method can be used which involves multiplying terms to create additive inverses and adding the equations together to solve for one variable, then substituting this value back into one of the original equations to solve for the other variable, providing the solution as an ordered pair. No solution occurs when the equations are identical after being combined.
Roots of equations
This document discusses methods for finding the roots of equations. It begins by explaining the importance of determining roots and how it relates to other mathematical problems. It then outlines different types of methods including graphical methods, which provide initial estimates but lack precision, and closed methods, which limit the search domain. Specific closed methods discussed include bisection, false position, fixed point, Newton-Raphson, and secant methods. Graphics are provided to illustrate each method.
Presentation5
This document discusses using the homotopy perturbation method to solve integral equations. It begins by introducing the homotopy perturbation method and how it can be used to find approximate solutions to problems by considering the solution as a sum of an infinite series. It then shows how to apply the method to solve Fredholm and Volterra integral equations of the second kind by constructing a homotopy and obtaining iteration formulas. The document concludes that the homotopy perturbation method provides sufficient conditions for the convergence of solutions to integral equations and integro-differential equations.
Fourier series (MT-221)
Fourier series represent periodic functions as the sum of sines and cosines. They break functions down into simple terms that can be solved individually and then recombined to approximate the original function to any desired accuracy. Fourier series are written as the sum of a constant term and coefficients multiplied by sine and cosine terms, with the coefficients of either sines or cosines being zero if the original function is even or odd, respectively.
Regulafalsi_bydinesh
This document describes the False Position Method for finding the roots of equations. The method uses linear interpolation to estimate the root between two initial guesses that bracket it. It improves on the bisection method by choosing a "false position" where the line between the guesses crosses the x-axis, rather than the midpoint. The false position formula is derived using similar triangles. An example applying the method to find a root of x^3 - 2x - 3 = 0 is shown. The merits of the false position method are faster convergence compared to bisection, while the demirits are possible non-monotonic convergence and lack of precision guarantee.
Tur 3
This document discusses taking the first derivative of the function f(x) = (2x - 3)^3. The first derivative, or slope, of this cubic function can be found by using the power rule and chain rule for derivatives. The derivative is f'(x) = 6(2x - 3)^2 * 2.
Chapter 3
The document discusses various numerical methods for finding the roots or zeros of equations, including closed and open methods. Closed methods like bisection and false position trap the root within a closed interval by repeatedly dividing the interval in half. Open methods like Newton-Raphson and secant methods use information about the nonlinear function to iteratively refine the estimated root without being restricted to an interval. The document also covers methods for equations with multiple roots like Muller's method.
Differential equation
The document discusses several topics in mathematics including:
1. General forms of second order linear differential equations and homogeneous equations.
2. Classifications of integrals including singular integrals which are defined as the eliminant of arbitrary constants from an integral equation.
3. Solving linear partial differential equations using Lagrange's method of finding integrals to reduce solutions to arbitrary functions.
4. The definition and properties of the Laplace transform, including using the initial value theorem and final value theorem to find the original function from its Laplace transform.
Differential equation and Laplace Transform
The document discusses several topics in mathematics including:
1. Differential equations in the form of Ay" + By′ + cy = g(t) and their homogeneous solutions.
2. Classifications of integrals including singular integrals which are found by eliminating arbitrary constants from an integral equation.
3. Solving Lagrange's linear equations by writing subsidiary equations and finding integrals to get the general integral solution in the form φ(u,v)=0.
4. The Laplace transform of a function f(t), denoted by L{f(t)}, which is defined as the integral of f(t)e^-st from 0 to infinity if it exists. Some properties of the Laplace transform are
Functions And Relations
The document defines key concepts related to sets, relations, and functions. It discusses how sets are collections of elements and can be represented using set notation. Relations are defined as sets of ordered pairs, with a domain and range. Functions are special relations where each element of the domain is paired with a unique element in the range. Functions are often represented graphically and through algebraic rules that describe the relationship between inputs and outputs.
RRT
The Rational Root Theorem states that if a polynomial equation has a rational root of the form p/q, then p must be a factor of the constant term and q must be a factor of the coefficient of the highest degree term. This theorem can be used to determine all possible rational roots of a polynomial equation. It is then used in examples to solve polynomial equations by finding rational roots through synthetic division or factoring.
Open methods
This document discusses various graphic and numeric methods for finding the roots or zeros of equations, including:
1) The graphic method which graphs the functions to find intervals where roots exist, such as finding the intersection point of y=arctan(x) and y=1-x to solve arctan(x)+x-1=0.
2) The fixed point method which is used to solve equations of the form x=g(x) by iteratively computing xn+1=g(xn).
3) Newton's method which iteratively finds better approximations for roots by using the tangent line approximation at each step as xn+1=xn−f(xn)/f'(xn)
Functional analysis
This document discusses key concepts in functional analysis including function spaces, metric spaces, dense subsets, linear spaces, and linear functionals. It provides examples of different types of function spaces like C[a,b] and L1[a,b]. Metric spaces are defined as pairs consisting of a space X and a distance function satisfying properties like non-negativity and triangle inequality. Examples of metric spaces include R and Rn. Dense subsets are defined as sets whose closure is equal to the entire space. Linear spaces satisfy properties like vector addition and scalar multiplication. Linear functionals are functions that map elements of a linear space to real numbers and satisfy properties like additivity and homogeneity.
Pre-Cal 30S January 15, 2009
The document describes the rational roots theorem and procedure for finding rational roots of a polynomial function. It involves:
1) Listing all possible numerator and denominator factors of the constant term and leading coefficient.
2) Writing all possible rational roots.
3) Using synthetic division and the factor theorem to reduce the polynomial to a quadratic.
4) Factoring the quadratic to find rational roots.
Presentation aust final
The document describes the false position method for finding roots of equations. It involves using linear interpolation between two initial guesses that bracket the root to find a new, improved estimate of the root. The method iteratively calculates new estimates using a false position formula until converging to within a specified tolerance of the true root. While faster than bisection, false position may converge less precisely in some cases if the graph is convex down between the initial guesses.
Chapter 2 solving nonlinear equations
This document discusses several numerical methods for finding the roots or zeros of nonlinear equations, including bracketing methods like bisection that repeatedly decrease an interval containing the solution, open methods like Newton-Raphson that require a good initial guess, and fixed-point iteration that rewrites the equation as x=g(x) and iteratively applies the function. Examples are provided to illustrate applying bisection, false position, Newton's method, secant method, and fixed-point iteration to solve specific equations numerically.
Rearranging formulae
This document discusses rearranging algebraic formulae to make a given variable the subject of the equation. It provides examples of rearranging formulas to make d, h, t, and r the subjects. It then assigns homework to rearrange 10 formulas so that the variable in parentheses is made the subject of each equation.
4.1 Inverse Functions
The document discusses inverse functions. It defines inverse functions as pairs of one-to-one functions that undo each other. To find the inverse of a function, interchange the x and y variables and solve for y. The graph of an inverse function is a reflection of the original function across the line y = x. Examples are provided to illustrate how to determine if a function is one-to-one, find the inverse function, and relate the graph of a function to its inverse.
2 1 polynomials
The document discusses identifying and evaluating polynomial functions. It defines polynomial functions as functions with whole number exponents and real number coefficients, and no variables in denominators. Polynomials can be written in standard form showing the degree and coefficients. The key points covered are: identifying the degree of a polynomial, finding the zeros of a polynomial function, directly substituting values for x, and using synthetic substitution to evaluate polynomials for any value of x.
Bracketing or closed methods
The document discusses the bisection method, a numerical method for finding the roots of a polynomial function. The bisection method works by repeatedly bisecting an interval where the function changes sign and narrowing in on a root. It involves finding an interval [a,b] where f(a) and f(b) have opposite signs, taking the midpoint x1, and discarding half of the interval based on the sign of f(x1). This process is repeated, halving the interval width each time, until a root is isolated within the desired accuracy. An example applying the bisection method to find the roots of f(x) = x^3 + 3x - 5 on the interval [1,2
Jan. 12 Binomial Factor Theorm
The document discusses two theorems for factoring polynomials:
1) The Factor Theorem states that a polynomial P(x) will have a factor (x - a) if P(a) equals 0.
2) The Rational Roots Theorem provides a procedure to find all possible rational roots of a polynomial by considering the factors of the leading coefficient and constant term. The procedure involves listing potential rational roots and using synthetic division or factoring to determine the actual roots.
Kuis peluangxii.dock
Dokumen tersebut berisi 20 soal probabilitas yang mencakup perhitungan peluang terjadinya suatu kejadian pada percobaan acak sederhana menggunakan koin, dadu, bola, dan lainnya. Soal-soal tersebut memberikan pilihan jawaban untuk menentukan besarnya peluang terjadinya suatu kejadian.
3
This document contains 20 multiple choice questions about solving systems of equations, word problems involving prices, and other math problems. The questions provide context and ask the reader to choose the correct answer from the options given. No single question and answer are highlighted for summarization.
2
The document contains 15 multiple choice questions about solving systems of linear equations and inequalities. The questions ask the reader to identify the solution set for equations like |1 - 2x| >= |x - 2| and systems of equations like {x + y + z = 4, 2x + 2y - z = 5, x - y = 1}.
1
This document contains 7 multiple choice questions about solving absolute value equations and inequalities. The questions cover solving equations of the form |ax + b| = c and |ax + b| ≤ c for values of x. The correct answers are provided as options a-e for each question.
More Related Content
What's hot
Tur 3
This document discusses taking the first derivative of the function f(x) = (2x - 3)^3. The first derivative, or slope, of this cubic function can be found by using the power rule and chain rule for derivatives. The derivative is f'(x) = 6(2x - 3)^2 * 2.
Chapter 3
The document discusses various numerical methods for finding the roots or zeros of equations, including closed and open methods. Closed methods like bisection and false position trap the root within a closed interval by repeatedly dividing the interval in half. Open methods like Newton-Raphson and secant methods use information about the nonlinear function to iteratively refine the estimated root without being restricted to an interval. The document also covers methods for equations with multiple roots like Muller's method.
Differential equation
The document discusses several topics in mathematics including:
1. General forms of second order linear differential equations and homogeneous equations.
2. Classifications of integrals including singular integrals which are defined as the eliminant of arbitrary constants from an integral equation.
3. Solving linear partial differential equations using Lagrange's method of finding integrals to reduce solutions to arbitrary functions.
4. The definition and properties of the Laplace transform, including using the initial value theorem and final value theorem to find the original function from its Laplace transform.
Differential equation and Laplace Transform
The document discusses several topics in mathematics including:
1. Differential equations in the form of Ay" + By′ + cy = g(t) and their homogeneous solutions.
2. Classifications of integrals including singular integrals which are found by eliminating arbitrary constants from an integral equation.
3. Solving Lagrange's linear equations by writing subsidiary equations and finding integrals to get the general integral solution in the form φ(u,v)=0.
4. The Laplace transform of a function f(t), denoted by L{f(t)}, which is defined as the integral of f(t)e^-st from 0 to infinity if it exists. Some properties of the Laplace transform are
Functions And Relations
The document defines key concepts related to sets, relations, and functions. It discusses how sets are collections of elements and can be represented using set notation. Relations are defined as sets of ordered pairs, with a domain and range. Functions are special relations where each element of the domain is paired with a unique element in the range. Functions are often represented graphically and through algebraic rules that describe the relationship between inputs and outputs.
RRT
The Rational Root Theorem states that if a polynomial equation has a rational root of the form p/q, then p must be a factor of the constant term and q must be a factor of the coefficient of the highest degree term. This theorem can be used to determine all possible rational roots of a polynomial equation. It is then used in examples to solve polynomial equations by finding rational roots through synthetic division or factoring.
Open methods
This document discusses various graphic and numeric methods for finding the roots or zeros of equations, including:
1) The graphic method which graphs the functions to find intervals where roots exist, such as finding the intersection point of y=arctan(x) and y=1-x to solve arctan(x)+x-1=0.
2) The fixed point method which is used to solve equations of the form x=g(x) by iteratively computing xn+1=g(xn).
3) Newton's method which iteratively finds better approximations for roots by using the tangent line approximation at each step as xn+1=xn−f(xn)/f'(xn)
Functional analysis
This document discusses key concepts in functional analysis including function spaces, metric spaces, dense subsets, linear spaces, and linear functionals. It provides examples of different types of function spaces like C[a,b] and L1[a,b]. Metric spaces are defined as pairs consisting of a space X and a distance function satisfying properties like non-negativity and triangle inequality. Examples of metric spaces include R and Rn. Dense subsets are defined as sets whose closure is equal to the entire space. Linear spaces satisfy properties like vector addition and scalar multiplication. Linear functionals are functions that map elements of a linear space to real numbers and satisfy properties like additivity and homogeneity.
Pre-Cal 30S January 15, 2009
The document describes the rational roots theorem and procedure for finding rational roots of a polynomial function. It involves:
1) Listing all possible numerator and denominator factors of the constant term and leading coefficient.
2) Writing all possible rational roots.
3) Using synthetic division and the factor theorem to reduce the polynomial to a quadratic.
4) Factoring the quadratic to find rational roots.
Presentation aust final
The document describes the false position method for finding roots of equations. It involves using linear interpolation between two initial guesses that bracket the root to find a new, improved estimate of the root. The method iteratively calculates new estimates using a false position formula until converging to within a specified tolerance of the true root. While faster than bisection, false position may converge less precisely in some cases if the graph is convex down between the initial guesses.
Chapter 2 solving nonlinear equations
This document discusses several numerical methods for finding the roots or zeros of nonlinear equations, including bracketing methods like bisection that repeatedly decrease an interval containing the solution, open methods like Newton-Raphson that require a good initial guess, and fixed-point iteration that rewrites the equation as x=g(x) and iteratively applies the function. Examples are provided to illustrate applying bisection, false position, Newton's method, secant method, and fixed-point iteration to solve specific equations numerically.
Rearranging formulae
This document discusses rearranging algebraic formulae to make a given variable the subject of the equation. It provides examples of rearranging formulas to make d, h, t, and r the subjects. It then assigns homework to rearrange 10 formulas so that the variable in parentheses is made the subject of each equation.
4.1 Inverse Functions
The document discusses inverse functions. It defines inverse functions as pairs of one-to-one functions that undo each other. To find the inverse of a function, interchange the x and y variables and solve for y. The graph of an inverse function is a reflection of the original function across the line y = x. Examples are provided to illustrate how to determine if a function is one-to-one, find the inverse function, and relate the graph of a function to its inverse.
2 1 polynomials
The document discusses identifying and evaluating polynomial functions. It defines polynomial functions as functions with whole number exponents and real number coefficients, and no variables in denominators. Polynomials can be written in standard form showing the degree and coefficients. The key points covered are: identifying the degree of a polynomial, finding the zeros of a polynomial function, directly substituting values for x, and using synthetic substitution to evaluate polynomials for any value of x.
Bracketing or closed methods
The document discusses the bisection method, a numerical method for finding the roots of a polynomial function. The bisection method works by repeatedly bisecting an interval where the function changes sign and narrowing in on a root. It involves finding an interval [a,b] where f(a) and f(b) have opposite signs, taking the midpoint x1, and discarding half of the interval based on the sign of f(x1). This process is repeated, halving the interval width each time, until a root is isolated within the desired accuracy. An example applying the bisection method to find the roots of f(x) = x^3 + 3x - 5 on the interval [1,2
Jan. 12 Binomial Factor Theorm
The document discusses two theorems for factoring polynomials:
1) The Factor Theorem states that a polynomial P(x) will have a factor (x - a) if P(a) equals 0.
2) The Rational Roots Theorem provides a procedure to find all possible rational roots of a polynomial by considering the factors of the leading coefficient and constant term. The procedure involves listing potential rational roots and using synthetic division or factoring to determine the actual roots.
What's hot (16)
More from selviayunistin
Kuis peluangxii.dock
Dokumen tersebut berisi 20 soal probabilitas yang mencakup perhitungan peluang terjadinya suatu kejadian pada percobaan acak sederhana menggunakan koin, dadu, bola, dan lainnya. Soal-soal tersebut memberikan pilihan jawaban untuk menentukan besarnya peluang terjadinya suatu kejadian.
3
This document contains 20 multiple choice questions about solving systems of equations, word problems involving prices, and other math problems. The questions provide context and ask the reader to choose the correct answer from the options given. No single question and answer are highlighted for summarization.
2
The document contains 15 multiple choice questions about solving systems of linear equations and inequalities. The questions ask the reader to identify the solution set for equations like |1 - 2x| >= |x - 2| and systems of equations like {x + y + z = 4, 2x + 2y - z = 5, x - y = 1}.
1
This document contains 7 multiple choice questions about solving absolute value equations and inequalities. The questions cover solving equations of the form |ax + b| = c and |ax + b| ≤ c for values of x. The correct answers are provided as options a-e for each question.
5
Dokumen tersebut berisi soal-soal tes tentang statistika deskriptif yang meliputi:
1. Menghitung modus dari sekumpulan data.
2. Menghitung rata-rata dari nilai ulangan 40 siswa.
3. Menghitung median dari dua kumpulan data yang dibagi berdasarkan rentang nilai dan frekuensinya.
3
Dokumen tersebut memberikan dua soal tentang diagram batang. Soal pertama menanyakan selisih produksi pupuk antara bulan Maret dan Mei, sedangkan soal kedua menanyakan jumlah siswa yang mendapatkan nilai lebih dari 7 pada ulangan Matematika.
2
The document contains 12 multiple choice questions about geometry, statistics, and diagrams. The questions cover topics like the length of sides of cubes with given dimensions, the distance from a point to a plane of a cube, definitions of statistical terms like sample and population, and the name for diagrams presented in pictorial or symbolic form.
1
The document contains 7 multiple choice questions about geometric properties and measurements within cubes. Specifically, it asks about:
1) The shape formed by intersecting a plane through the midpoint of an edge and two vertices.
2) The shape formed by intersecting a plane through midpoints of three edges.
3) The distance from a vertex to the midpoint of an opposite edge, given the edge length.
4) The distance from a vertex to the diagonal of the opposite face, given the edge length.
5) The distance from a vertex to an opposite edge, given the edge length.
6) The distance from the midpoint of an edge to a parallel opposite face, given the edge length.
7
Soal math xii-wajib
The document contains 20 multiple choice questions about geometry concepts involving cubes, distances, and statistical measures such as mode, median, and frequency tables. The questions cover topics such as finding distances between points and lines/planes on cubes, interpreting diagrams, and calculating statistical values like mode, median, and mean from data sets presented in tables or lists.
Uh 4
This mathematical inequality can be solved by separating it into cases based on the absolute value and combining like terms. The solution is -5 < x < 5.
Uh 4
This one sentence document appears to be discussing solving an inequality involving an absolute value expression. It states that the solution to the inequality "|2x - 1| > x + 4" is to be completed or finished. However, there is not enough context or information provided to fully understand the incomplete statement or determine the actual solution being referred to.
Uh 3
This document discusses solving an inequality involving an absolute value. The inequality is |3 - x| > 2, which can be broken into two cases: (3 - x) > 2 or (x - 3) > -2. Solving each case individually results in the solution set being x < 1 or x > 5.
Uh mutlak 3
This mathematics document discusses solving absolute value equations and inequalities. It addresses finding the solution sets of |2x + 3|=, |2x + 1|=|x - 2|, and |3 - x| > 2, as well as the inequality |2x - 1| > x + 4.
Uh mutlak 2
The document discusses an equation involving the absolute values of expressions containing x. The equation is |2x + 1| = |x - 2|. The value of x that satisfies this equation is x = 1.
Uh mutlak 1
This document discusses solving the absolute value equation |2x + 3| = 9. To solve this equation, we first break it into cases: when 2x + 3 is greater than or equal to 0, and when it is less than 0. We then solve each case separately and combine the solutions.
Uh mutlak 1
This document appears to be discussing an algebraic expression involving an absolute value term. However, there is not enough context or information provided to generate a meaningful 3 sentence summary. The document is a single line that does not convey the essential information or high level topic being discussed.
Uh nilai mutlak
This mathematics document discusses solving absolute value equations and inequalities. It addresses finding the solution sets of |2x + 3|=, |2x + 1|=|x - 2|, and |3 - x| > 2, as well as the inequality |2x - 1| > x + 4.
More from selviayunistin (20)
Recently uploaded
Educational Technology in the Health Sciences
Plenary presentation at the NTTC Inter-university Workshop, 18 June 2024, Manila Prince Hotel.
How to Fix [Errno 98] address already in use
This slide will represent the cause of the error “[Errno 98] address already in use” and the troubleshooting steps to resolve this error in Odoo.
How to Manage Reception Report in Odoo 17
A business may deal with both sales and purchases occasionally. They buy things from vendors and then sell them to their customers. Such dealings can be confusing at times. Because multiple clients may inquire about the same product at the same time, after purchasing those products, customers must be assigned to them. Odoo has a tool called Reception Report that can be used to complete this assignment. By enabling this, a reception report comes automatically after confirming a receipt, from which we can assign products to orders.
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
(A Free eBook comprising 3 Sets of Presentation of a selection of Puzzles, Brain Teasers and Thinking Problems to exercise both the mind and the Right and Left Brain. To help keep the mind and brain fit and healthy. Good for both the young and old alike.
Answers are given for all the puzzles and problems.)
With Metta,
Bro. Oh Teik Bin 🙏🤓🤔🥰
Benner "Expanding Pathways to Publishing Careers"
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
The recent surge in pro-Palestine student activism has prompted significant responses from universities, ranging from negotiations and divestment commitments to increased transparency about investments in companies supporting the war on Gaza. This activism has led to the cessation of student encampments but also highlighted the substantial sacrifices made by students, including academic disruptions and personal risks. The primary drivers of these protests are poor university administration, lack of transparency, and inadequate communication between officials and students. This study examines the profound emotional, psychological, and professional impacts on students engaged in pro-Palestine protests, focusing on Generation Z's (Gen-Z) activism dynamics. This paper explores the significant sacrifices made by these students and even the professors supporting the pro-Palestine movement, with a focus on recent global movements. Through an in-depth analysis of printed and electronic media, the study examines the impacts of these sacrifices on the academic and personal lives of those involved. The paper highlights examples from various universities, demonstrating student activism's long-term and short-term effects, including disciplinary actions, social backlash, and career implications. The researchers also explore the broader implications of student sacrifices. The findings reveal that these sacrifices are driven by a profound commitment to justice and human rights, and are influenced by the increasing availability of information, peer interactions, and personal convictions. The study also discusses the broader implications of this activism, comparing it to historical precedents and assessing its potential to influence policy and public opinion. The emotional and psychological toll on student activists is significant, but their sense of purpose and community support mitigates some of these challenges. However, the researchers call for acknowledging the broader Impact of these sacrifices on the future global movement of FreePalestine.
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as discipline
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneGender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
A Visual Guide to 1 Samuel | A Tale of Two Hearts
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
Accounting for Restricted Grants When and How To Record Properly
In this webinar, member learned how to stay in compliance with generally accepted accounting principles (GAAP) for restricted grants.
Recently uploaded (20)
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Accounting for Restricted Grants When and How To Record Properly
Accounting for Restricted Grants When and How To Record Properly
Kom 3
- 1. 3. Tentukan rumus fungsi invers dari fungsi 𝑓 (𝑥) = 2𝑋 + 6 …