# Stewart Calculus: Early Transcendentals, 7th Edition Stewart Calculus: Early Transcendentals, 7th Edition 7th Edition | ISBN: 9780538497909 / 0538497904

7,404

expert-verified solutions in this book  7th Edition | ISBN: 9780538497909 / 0538497904

7,404

expert-verified solutions in this book

### Chapter 1

Functions And Models

 1.1 Four Ways to Represent a Function Exercises p.19 1.2 Mathematical Models: A Catalog of Essential Functions Exercises p.33 1.3 New Functions from Old Functions Exercises p.42 1.4 Graphing Calculators and Computers Exercises p.50 1.5 Exponential Functions Exercises p.57 1.6 Inverse Functions and Logarithms Exercises p.69 Review: Concept Check p.72 Review: True-False Quiz p.72 Review: Exercises p.73

### Chapter 2

Limits And Derivatives

 2.1 The Tangent and Velocity Problems Exercises p.86 2.2 The Limit of a Function Exercises p.96 2.3 Calculating Limits Using the Limit Laws Exercises p.106 2.4 The Precise Definition of a Limit Exercises p.116 2.5 Continuity Exercises p.127 2.6 Limits at Infinity; Horizontal Asymptotes Exercises p.140 2.7 Derivatives and Rates of Change Exercises p.150 2.8 The Derivative as a Function Exercises p.162 Review: Concept Check p.165 Review: True-False Quiz p.166 Review: Exercises p.167

### Chapter 3

Differentiation Rules

 3.1 Derivatives of Polynomials and Exponential Functions Exercises p.181 3.2 The Product and Quotient Rules Exercises p.189 3.3 Derivatives of Trigonometric Functions Exercises p.197 3.4 The Chain Rule Exercises p.205 3.5 Implicit Differentiation Exercises p.215 3.6 Derivatives of Logarithmic Functions Exercises p.223 3.7 Rates of Change in the Natural and Social Sciences Exercises p.233 3.8 Exponential Growth and Decay Exercises p.242 3.9 Related Rates Exercises p.248 3.10 Linear Approximations and Differentials Exercises p.255 3.11 Hyperbolic Functions Exercises p.262 Review: Concept Check p.264 Review: True-False Quiz p.264 Review: Exercises p.265

### Chapter 4

Applications Of Differentiation

 4.1 Maximum and Minimum Values Exercises p.280 4.2 The Mean Value Theorem Exercises p.288 4.3 How Derivatives Affect the Shape of a Graph Exercises p.297 4.4 Indeterminate Forms and l'Hospitals Rule Exercises p.307 4.5 Summary of Curve Sketching Exercises p.317 4.6 Graphing with Calculus and Calculators Exercises p.324 4.7 Optimization Problems Exercises p.331 4.8 Newton's Method Exercises p.342 4.9 Antiderivatives Exercises p.348 Review: Concept Check p.351 Review: True-False Quiz p.351 Review: Exercises p.352

### Chapter 5

Integrals

 5.1 Areas and Distances Exercises p.369 5.2 The Definite Integral Exercises p.382 5.3 The Fundamental Theorem of Calculus Exercises p.394 5.4 Indefinite Integrals and the Net Change Theorem Exercises p.403 5.5 The Substitution Rule Exercises p.413 Review: Concept Check p.415 True-False Quiz p.416 Review: Exercises p.416 5.5 The Substitution Rule Problems p.420

### Chapter 6

Applications Of Integration

 6.1 Areas Between Curves Exercises p.427 6.2 Volumes Exercises p.438 6.3 Volumes by Cylindrical Shells Exercises p.444 6.4 Work Exercises p.449 6.5 Average Value of a Function Exercises p.453 Review: Concept Check p.457 Review Exercises p.457

### Chapter 7

Techniques Of Integration

 7.1 Integration by Parts Exercises p.468 7.2 Trigonometric Integrals Exercises p.476 7.3 Trigonometric Substitution Exercises p.483 7.4 Integration of Rational Functions by Partial Fractions Exercises p.492 7.5 Strategy for Integration Exercises p.499 7.6 Integration Using Tables and Computer Algebra Systems Exercises p.504 7.7 Approximate Integration Exercises p.516 7.8 Improper Integrals Exercises p.527 Review: Concept Check p.529 Review: True-False Quiz p.530 Review Exercises p.530

### Chapter 8

Further Applications Of Integration

 8.1 Arc Length Exercises p.543 8.2 Area of a Surface of Revolution Exercises p.550 8.3 Applications to Physics and Engineering Exercises p.560 8.4 Applications to Economics and Biology Exercises p.566 8.5 Probability Exercises p.573 Concept Check p.575 Review Exercises p.575

### Chapter 9

Differential Equations

 9.1 Modeling with Differential Equations Exercises p.584 9.2 Direction Fields and Euler's Method Exercises p.592 9.3 Separable Equations Exercises p.600 9.4 Models for Population Growth Exercises p.613 9.5 Linear Equations Exercises p.620 9.6 Predator-Prey Systems Exercises p.627 Review p.629 True-False Quiz p.629 Review Exercises p.630

### Chapter 10

Parametric Equations And Polar Coordinates

 10.1 Curves Defined by Parametric Equations Exercises p.641 10.2 Calculus with Parametric Curves Exercises p.651 10.3 Polar Coordinates Exercises p.662 10.4 Areas and Lengths in Polar Coordinates Exercises p.668 10.5 Conic Sections Exercises p.676 10.6 Conic Sections in Polar Coordinates Exercises p.684 Concept Check p.685 True-False Quiz p.685 Review Exercises p.686

### Chapter 11

Infinite Sequences And Series

 11.1 Sequences Exercises p.700 11.2 Series Exercises p.711 11.3 The Integral Test and Estimates of Sums Exercises p.720 11.4 The Comparison Tests Exercises p.726 11.5 Alternating Series Exercises p.731 11.6 Absolute Convergence and the Ratio and Root Tests Exercises p.737 11.7 Strategy for Testing Series Exercises p.740 11.8 Power Series Exercises p.745 11.9 Representations of Functions as Power Series Exercises p.751 11.10 Taylor and Maclaurin Series Exercises p.765 11.11 Applications of Taylor Polynomials Exercises p.774 Concept Check p.778 True-False Quiz p.778 Review Exercises p.779

### Chapter 12

Vectors And The Geometry Of Space

 12.1 Three-Dimensional Coordinate Systems Exercises p.790 12.2 Vectors Exercises p.798 12.3 The Dot Product Exercises p.806 12.4 The Cross Product Exercises p.814 12.5 Equations of Lines and Planes Exercises p.824 12.6 Cylinders and Quadric Surfaces Exercises p.832 Concept Check p.834 True-False Quiz p.834 Review Exercises p.835

### Chapter 13

Vector Problems

 13.1 Vector Functions and Space Curves Exercises p.845 13.2 Derivatives and Integrals of Vector Functions Exercises p.852 13.3 Arc Length and Curvature Exercises p.860 13.4 Motion in Space: Velocity and Acceleration Exercises p.870 Concept Check p.873 True-False Quiz p.873 Review Exercises p.874

### Chapter 14

Partial Derivatives

 14.1 Functions of Several Variables Exercises p.888 14.2 Limits and Continuity Exercises p.899 14.3 Partial Derivatives Exercises p.911 14.4 Tangent Planes and Linear Approximations Exercises p.922 14.5 The Chain Rule Exercises p.930 14.6 Directional Derivatives and the Gradient Vector Exercises p.943 14.7 Maximum and Minimum Values Exercises p.953 14.8 Lagrange Multipliers Exercises p.963 Concept Check p.967 True-False Quiz p.967 Review Exercises p.968

### Chapter 15

Multiple Integrals

 15.1 Double Integrals over Rectangles Exercises p.981 15.2 Iterated Integrals Exercises p.987 15.3 Double Integrals over General Regions Exercises p.995 15.4 Double Integrals in Polar Coordinates Exercises p.1002 15.5 Applications of Double Integrals Exercises p.1012 15.6 Surface Area Exercises p.1016 15.7 Triple Integrals Exercises p.1025 15.8 Triple Integrals in Cylindrical Coordinates Exercises p.1031 15.9 Triple Integrals in Spherical Coordinates Exercises p.1037 15.10 Change in Variables in Multiple Integrals Exercises p.1047 Concept Check p.1049 True-False Quiz p.1049 Review Exercises p.1050

### Chapter 16

Vector Calculus

 16.1 Vector Fields Exercises p.1061 16.2 Line Integrals Exercises p.1072 16.3 The Fundamental Theorem for Line Integrals Exercises p.1082 16.4 Green's Theorem Exercises p.1089 16.5 Curl and Divergence Exercises p.1097 16.6 Parametric Surfaces and Their Areas Exercises p.1108 16.7 Surface Integrals Exercises p.1120 16.8 Stoke's Theorem Exercises p.1127 16.9 The Divergence Theorem Exercises p.1133 Concept Check p.1136 True-False Quiz p.1136 Review Exercises p.1137

### Chapter 17

Second-Order Differential Equations

 17.1 Second-Order Linear Equations Exercises p.1148 17.2 Nonhomogeneous Linear Equations Exercises p.1155 17.3 Applications of Second-Order Differential Equations Exercises p.1163 17.4 Series Solutions Exercises p.1168 Concept Check p.1169 True-False Quiz p.1169 Review Exercises p.1169
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