Integral calculus - Study guides, Class notes & Summaries

Contents 1 First-Order Differential Equations 1 1.1 Terminology and Separable Equations 1 1.2 The Linear First-Order Equation 12 1.3 Exact Equations 19 1.4 Homogeneous, Bernoulli and Riccati Equa tions 28 2 Second-Order Differential Equations 37 2.1 The Linear Second-Order Equation 37 2.2 The Constant Coefficient Homogeneous Equation 41 2.3 Particular Solutions of the Nonhomogeneous Equation 46 2.4 The Euler Differential Equation 53 2.5 Series Solutions 58 3 The Laplace Transform 69 3.1 Definiti...

Essential Calculus 2nd Edition 2297 0875 0, 3, 4, 0, 2467, 3011, 9067, 6609 1: Functions and Limits 1.1: Functions and Their Representations 1.2: A Catalog of Essential Functions 1.3: The Limit of a Function 1.4: Calculating Limits 1.5: Continuity 1.6: Limits Involving Infinity 2: Derivatives 2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function 2.3: Basic Differentiation Formulas 2.4: The Product and Quotient Rules 2.5: The Chain ...

SOLUTION MANUAL For Calculus for Business, Economics, and the Social and Life Sciences 10th Edition By Laurence D. Hoffman , Gerald L. Bradley || Updated Version A+ 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 Techniqu...

Test Bank for Precalculus, 12th Edition by Michael Sullivan. Complete chapters are included with answers. Exam Guide 1. Graphs 1.1 The Distance and Midpoint Formulas 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry 1.3 Lines 1.4 Circles Chapter 1 Review, Test, and Projects 2. Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2...

Notes on Calculus II Integral Calculus

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...

PREFACE CHAPTER I: PRESENTATION OF THE PRINCIPAL PROBLEMS OF THE CALCULUS OF VARIATIONS. 1 The connection between the Calculus of Variations and the Theory of Maxima and Minima. Problem I. The curve which generates a minimal surface area when rotated about a given axis. 2,3,4 The solution of this problem by the methods of Maxima and Minima. 5,6 The difference between the Calculus of Variations and the Theory of Maxima and Minima. 7 The coordinates , expressed as functions of a para...

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...

Limit Definition of Derivative Mean Value Theorem If f(x) is defined and continuous on [a,b] and differentiable on (a,b) then there is at least one point where f'(c) = f(b)-f(a)/b-a A function is continuous at a point x=a if: a) f(a) is defined b) Limit as x approaches a of f(x) c) Limit as x approaches a of f(x) is equal to f(a) Fundamental Theorem of Calculus (P1) If f is continuous on [a,b] F(x) = ∫f(x) and both are continuous on [a,b] F(x) is differentiable on ...