Definite integral formula - Study guides, Class notes & Summaries

Jacobian How to use the chain rule? When you have a composition of functions (dw/ds, dw/dt)= (df/du, df/dv)(du/ds, dv/ds, du/dt, dv/dt) so it gives a vector Classify critical points 1. differentiate WRT each variable x and y. 2. set them equal to 0. then solve for the values (often take the equation that is easy to factorize and take its values. 3. replace the values obtained in the other partial equation set equal to 0 to get the points ***trick: you can add the equations some...

Functions 1 1.1 Functions and Their Graphs 1 1.2 Combining Functions; Shifting and Scaling Graphs 8 1.3 Trigonometric Functions 19 1.4 Graphing with Calculators and Computers 26 Practice Exercises 30 Additional and Advanced Exercises 38 2 Limits and Continuity 43 2.1 Rates of Change and Tangents to Curves 43 2.2 Limit of a Function and Limit Laws 46 2.3 The Precise Definition of a Limit 55 2.4 One-Sided Limits 63 2.5 Continuity 67 2.6 Limits Involving Infinity; Asymptotes of Graphs ...

Solutions Manual to accompany Calculus for Business, Economics, and the Social and Life Sciences Tenth Edition, Brief Laurence D. Hoffman CONTENTS Chapter 1 Functions, Graphs, and Limits 1 1.1 Functions 1 1.2 The Graph of a Function 6 1.3 Linear Functions 14 1.4 Functional Models 19 1.5 Limits 26 1.6 One-Sided Limits and Continuity 30 Checkup for Chapter 1 33 Review Problems 36 Chapter 2 Differentiation: Basic Concepts 43 2.1 The Derivative 43 2.2 Techniques of Differentiation...

evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. Full Chapters test bank included - Answers are given at the end of every chapter. Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressi...

how to test for convergence in a sequence - answer-take limit, anything but infinity is convergence Geometric Series Equation - answer-∞∑n=0 a(r)^n or ∞∑n=1 a(r)^n-1 Sum of Geometric Series - answer-a₁/1-r Integral test procedure/requirements - answer-Take definite integral of a_n from 1 to ∞, if the answer is anything but infinity then it converges. Requirements are that the series must be continuous, positive, and decreasing. when does a p series converge - answer-when ...

ASVAB Test 426 Questions with Verified Answers The function of an enzyme is to ___ - CORRECT ANSWER speed up a chemical reaction one kilogram mass is dropped from a heigh of 1 meter. its kinetic energy just before it hits the ground is about ___ - CORRECT ANSWER 10 joules the DNA of a cell is found mainly in its ___ - CORRECT ANSWER chromosomes most cells without a cell wall also lack ___ - CORRECT ANSWER chloroplasts the cells that can easily be scraped from the lining of the mou...

ASVAB Test 426 Questions with Verified Answers The function of an enzyme is to ___ - CORRECT ANSWER speed up a chemical reaction one kilogram mass is dropped from a heigh of 1 meter. its kinetic energy just before it hits the ground is about ___ - CORRECT ANSWER 10 joules the DNA of a cell is found mainly in its ___ - CORRECT ANSWER chromosomes most cells without a cell wall also lack ___ - CORRECT ANSWER chloroplasts the cells that can easily be scraped from the lining of the mou...

Multiple Choice Questions 1. What is the written declaration that unambiguously expresses your faultless future? A. Perfect life book B. Paradise found C. Ideal life plan D. Portrait of you as a happy person 2. Who should be the main architect of your plans for a perfect future? A. Your parents B. You C. Your academic advisor D. Oprah 3. What important things can you learn from examining your past? A. How to reflect B. How not to repeat it C. Your ability to care D. Yo...

1. Order of a matrix Number of rows by number of columns 2. Square matrix Matrix of order NxN 3. Leading diagonal Diagonal of matrix from top left to bottom right 4. Conditions for two matrices to be equal - must have same order - each element in one matrix must be equal to the corresponding ele- ment in the other 5. Matrices which you can't add are... non-conformable for addition 6. Matrices which you can't multiply are... non-conformable for multiplication 7. Matrix...