Larson Calculus of a Single Variable, 8th Edition

Larson Calculus of a Single Variable, 8th Edition Larson Calculus of a Single Variable, 8th ...

ISBN: 9780618503032 / 061850303X

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Table of Contents

Chapter P

Preparation For Calculus

P.1 Graphs and Models Exercises p.8
P.2 Linear Models and Rates of Change Exercises p.16
P.3 Functions and Their Graphs Exercises p.27
P.4 Fitting Models to Data Exercises p.34
Review Exercises p.37
Problem Solving p.39

Chapter 1

Limits And Their Properties

1.1 A Preview of Calculus Exercises p.47
1.2 Finding Limits Graphically and Numerically Exercises p.54
1.3 Evaluating Limits Analytically Exercises p.67
1.4 Continuity and One-Sided Limits Exercises p.78
1.5 Infinite Limits Exercises p.88
Review Exercises p.91
Problem Solving p.93

Chapter 2

Differentiation

2.1 The Derivative and the Tangent Line Problem Exercises p.103
2.2 Basic Differentiation Rules and Rates of Change Exercises p.115
2.3 Product and Quotient Rules and Higher-Order Derivatives Exercises p.126
2.4 The Chain Rule Exercises p.137
2.5 Implicit Differentiation Exercises p.146
2.6 Related Rates Exercises p.154
Review Exercises p.158
Problem Solving p.161

Chapter 3

Applications Of Differentiation

3.1 Extrema on an Interval Exercises p.169
3.2 Rolle's Theorem and the Mean Value Theorem Exercises p.176
3.3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.186
3.4 Concavity and the Second Derivative Test Exercises p.195
3.5 Limits at Infinity Exercises p.205
3.6 A Summary of Curve Sketching Exercises p.215
3.7 Optimization Problems Exercises p.223
3.8 Newton's Method Exercises p.233
3.9 Differentials Exercises p.240
Review Exercises p.242
Problem Solving p.245

Chapter 4

Integration

4.1 Antiderivatives and Indefinite Integration Exercises p.255
4.2 Area Exercises p.267
4.3 Riemann Sums and Definite Integrals Exercises p.278
4.4 The Fundamental Theorem of Calculus Exercises p.291
4.5 Integration by Substitution Exercises p.304
4.6 Numerical Integration Exercises p.314
Review Exercises p.316
Problem Solving p.319

Chapter 5

Logarithmic, Exponential, And Other Transcendental Functions

5.1 The Natural Logarithmic Function: Differentiation Exercises p.329
5.2 The Natural Logarithmic Function: Integration Exercises p.338
5.3 Inverse Functions Exercises p.347
5.4 Exponential Functions: Differentiation and Integration Exercises p.356
5.5 Bases Other Than e and Applications Exercises p.366
5.6 Inverse Trigonometric Functions: Differentiation Exercises p.377
5.7 Inverse Trigonometric Functions: Integration Exercises p.385
5.8 Hyperbolic Functions Exercises p.396
Review Exercises p.399
Problem Solving p.401

Chapter 6

Differential Equations

6.1 Slope Fields and Euler's Method Exercises p.409
6.2 Differential Equations: Growth and Decay Exercises p.418
6.3 Separation of Variables and the Logistic Equation Exercises p.429
6.4 First-Order Linear Differential Equations Exercises p.438
Review Exercises p.441
Problem Solving p.443

Chapter 7

Applications Of Integration

7.1 Area of a Region Between Two Curves Exercises p.452
7.2 Volume: The Disk Method Exercises p.463
7.3 Volume: The Shell Method Exercises p.472
7.4 Arc Length and Surfaces of Revolution Exercises p.483
7.5 Work Exercises p.493
7.6 Moments, Centers of Mass, and Centroids Exercises p.504
7.7 Fluid Pressure and Fluid Force Exercises p.511
Review Exercises p.513
Problem Solving p.515

Chapter 8

Integration Techniques, L'Hopital's Rule, And Improper Integrals

8.1 Basic Integration Rules Exercises p.522
8.2 Integration by Parts Exercises p.531
8.3 Trigonometric Integrals Exercises p.540
8.4 Trigonometric Substitution Exercises p.549
8.5 Partial Fractions Exercises p.559
8.6 Integration by Tables and Other Integration Techniques Exercises p.565
8.7 Indeterminate Forms and L'Hôpital's Rule Exercises p.574
8.8 Improper Integrals Exercises p.585
Review Exercises p.589
Problem Solving p.591

Chapter 9

Infinite Series

9.1 Sequences Exercises p.602
9.2 Series and Convergence Exercises p.612
9.3 The Integral Test and p-Series Exercises p.620
9.4 Comparisons of Series Exercises p.628
9.5 Alternating Series Exercises p.636
9.6 The Ratio and Root Tests Exercises p.645
9.7 Taylor Polynomials and Approximations Exercises p.656
9.8 Power Series Exercises p.666
9.9 Representation of Functions by Power Series Exercises p.674
9.10 Taylor and Maclaurian Series Exercises p.685
Review Exercises p.688
Problem Solving p.691

Chapter 10

Conics, Parametric Equations, And Polar Coordinates

10.1 Conics and Calculus Exercises p.704
10.2 Plane Curves and Parametric Equations Exercises p.716
10.3 Parametric Equations and Calculus Exercises p.725
10.4 Polar Coordinates and Polar Graphs Exercises p.736
10.5 Area and Arc Length in Polar Coordinates Exercises p.745
10.6 Polar Equations of Conics and Kepler's Laws Exercises p.753
Review Exercises p.756
Problem Solving p.759
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