Larson Calculus, 9th Edition

Larson Calculus, 9th Edition Larson Calculus, 9th Edition

ISBN: 9780547167022 / 0547167024

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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 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

Application 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 Reimann Sums and Definite Integrals Exercises p.278
4.4 The Fundamental Theorem of Calculus Exercises p.293
4.5 Integration by Substitution Exercises p.306
4.6 Numerical Integration Exercises p.316
Review Exercises p.318
Problem Solving p.321

Chapter 5

Logarithmic, Exponential, And Other Transcendental Functions

5.1 The Natural Logarithmic Function: Differentiation Exercises p.331
5.2 The Natural Logarithmic Function: Integration Exercises p.340
5.3 Inverse Functions Exercises p.349
5.4 Exponential Functions: Differentiation and Integration Exercises p.358
5.5 Bases Other Than e and Applications Exercises p.368
5.6 Inverse Trigonometric Functions: Differentiation Exercises p.379
5.7 Inverse Trigonometric Functions: Integration Exercises p.387
5.8 Hyperbolic Functions Exercises p.398
Review Exercises p.401
Problem Solving p.403

Chapter 6

Differential Equations

6.1 Slope Fields and Euler's Method Exercises p.411
6.2 Differential Equations: Growth and Decay Exercises p.420
6.3 Separation of Variables and the Logistic Equation Exercises p.431
6.4 First-Order Linear Differential Equations Exercises p.440
Review Exercises p.443
Problem Solving p.445

Chapter 7

Application Of Integrals

7.1 Area of a Region Between Two Curves Exercises p.454
7.2 Volume: The Disk Method Exercises p.465
7.3 Volume: The Shell Method Exercises p.474
7.4 Arc Length and Surfaces of Revolution Exercises p.485
7.5 Work Exercises p.495
7.6 Moments, Centers of Mass, and Centeroids Exercises p.506
7.7 Fluid Pressure and Fluid Force Exercises p.513
Review Exercises p.515
Problem Solving p.517

Chapter 8

Integration Techniques, L'Hôpital's Rules, And Improper Integrals

8.1 Basic Integration Rules Exercises p.524
8.2 Integration by Parts Exercises p.533
8.3 Trigonometric Integrals Exercises p.542
8.4 Trigonometric Substitution Exercises p.551
8.5 Partial Fractions Exercises p.561
8.6 Integration by Tables and Other Integration Techniques Exercises p.567
8.7 Indeterminate Forms and L'Hôpital's Rules Exercises p.576
8.8 Improper Integrals Exercises p.587
Review Exercises p.591
Problem Solving p.593

Chapter 9

Infinite Series

9.1 Sequences Exercises p.604
9.2 Series and Convergence Exercises p.614
9.3 The Integral Test and p-Series Exercises p.622
9.4 Comparisons of Series Exercises p.630
9.5 Alternating Series Exercises p.638
9.6 The Ratio and Root Tests Exercises p.647
9.7 Taylor Polynomials and Approximations Exercises p.658
9.8 Power Series Exercises p.668
9.9 Representation of Functions by Power Series Exercises p.676
9.10 Taylor and Maclaurian Series Exercises p.687
Review Exercises p.690
Problem Solving p.693

Chapter 10

Conics, Parametric Equations, And Polar Coordinates

10.1 Conics and Calculus Exercises p.706
10.2 Plane Curves and Parametric Equations Exercises p.718
10.3 Parametric Equations and Calculus Exercises p.727
10.4 Polar Coordinates and Polar Graphs Exercises p.738
10.5 Area and Arc Length in Polar Coordinates Exercises p.747
10.6 Polar Equations of Conics and Kepler's Laws Exercises p.755
Review Exercises p.758
Problem Solving p.761

Chapter 11

Vectors And The Geometry Of Space

11.1 Vectors in the Plane Exercises p.771
11.2 Space Coordinates and Vectors in Space Exercises p.780
11.3 The Dot Product of Two Vectors Exercises p.789
11.4 The Cross Product of Two Vectors in Space Exercises p.798
11.5 Lines and Planes in Space Exercises p.807
11.6 Surfaces in Space Exercises p.820
11.7 Cylindrical and Spherical Coordinates Exercises p.827
Review Exercises p.829
Problem Solving p.831

Chapter 12

Vector-Valued Functions

12.1 Vector-Valued Functions Exercises p.839
12.2 Differentiation and Integration of Vector-Valued Functions Exercises p.848
12.3 Velocity and Acceleration Exercises p.856
12.4 Tangent Vectors and Normal Vectors Exercises p.865
12.5 Arc Length and Curvature Exercises p.877
Review Exercises p.881
Problem Solving p.883

Chapter 13

Functions Of Several Variables

13.1 Introduction to Functions of Several Variables Exercises p.894
13.2 Limits and Continuity Exercises p.904
13.3 Partial Derivatives Exercises p.914
13.4 Differentials Exercises p.923
13.5 Chain Rules for Functions of Several Variables Exercises p.931
13.6 Directional Derivatives and Gradients Exercises p.942
13.7 Tangent Planes and Normal Lines Exercises p.951
13.8 Extrema of Functions of Two Variables Exercises p.960
13.9 Applications of Extrema of Functions of Two Variables Exercises p.966
13.10 Lagrange Multipliers Exercises p.976
Review Exercises p.978
Problem Solving p.981

Chapter 14

Multiple Integration

14.1 Iterated Integrals and Area in the Plane Exercises p.990
14.2 Double Integrals and Volume Exercises p.1000
14.3 Change of Variables: Polar Coordinates Exercises p.1009
14.4 Center of Mass and Moments of Inertia Exercises p.1018
14.5 Surface Area Exercises p.1025
14.6 Triple Integrals and Applications Exercises p.1035
14.7 Triple Integrals in Cylindrical and Spherical Coordinates Exercises p.1043
14.8 Change of Variables: Jacobians Exercises p.1050
Review Exercises p.1052
Problem Solving p.1055

Chapter 15

Vector Analysis

15.1 Vector Fields Exercises p.1067
15.2 Line Integrals Exercises p.1079
15.3 Conservative Vector Fields and Independence of Path Exercises p.1090
15.4 Green's Theorem Exercises p.1099
15.5 Parametric Surfaces Exercises p.1109
15.6 Surface Integrals Exercises p.1122
15.7 Divergence Theorem Exercises p.1130
15.8 Stoke's Theorem Exercises p.1137
Review Exercises p.1138
Problem Solving p.1141
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