Calculus Of A Single Variable 8th Edition Worked Out Solutions

Posted on 17.08.201922.08.2017by admin

Single Variable Calculus Early Transcendentals 8th Edition Stewart Solutions Manual, 2019.

Calculus Of A Single Variable 8th Edition Worked Out Solutions
Calculus ETF 5E

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

Calculus Of A Single Variable 8th Edition Worked Out Solutions

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'H么pital'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

Chapter 1

Functions And Limits

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	The Tangent and Velocity Problems	Exercises	p.49
1.5	The Limit of a Function	Exercises	p.59
1.6	Calculating Limits Using the Limit Laws	Exercises	p.69
1.7	The Precise Definition of a Limit	Exercises	p.80
1.8	Continuity	Exercises	p.90
Concept Check	p.93
True-False Quiz	p.94
Review Exercises	p.95
Problem Solving	p.102

Chapter 2

Derivatives

2.1	Derivatives and Rates of Change	Exercises	p.110
2.2	The Derivative as a Function	Exercises	p.122
2.3	Differentiation Formulas	Exercises	p.136
2.4	Derivatives of Trigonometric Functions	Exercises	p.146
2.5	The Chain Rule	Exercises	p.154
2.6	Implicit Differentiation	Exercises	p.161
2.7	Rates of Change in the Natural and Social Sciences	Exercises	p.173
2.8	Related Rates	Exercises	p.180
2.9	Linear Approximations and Differentials	Exercises	p.187
Concept Check	p.190
True-False Quiz	p.190
Review Exercises	p.191
Problems Plus	p.194

Chapter 3

Applications Of Differentiation

3.1	Maximum and Minimum Values	Exercises	p.204
3.2	The Mean Value Theorem	Exercises	p.212
3.3	How Derivatives Affect the Shape of a Graph	Exercises	p.220
3.4	Limits at Infinity; Horizontal Asymptotes	Exercises	p.234
3.5	Summary of Curve Sketching	Exercises	p.242
3.6	Graphing with Calculus and Calculators	Exercises	p.249
3.7	Optimization Problems	Exercises	p.256
3.8	Newton's Method	Exercises	p.267
3.9	Antiderivatives	Exercises	p.273
Concept Check	p.275
True-False Quiz	p.276
Review Exercises	p.276
Problem Solving	p.280

Chapter 4

Integrals

4.1	Areas and Distances	Exercises	p.293
4.2	The Definite Integral	Exercises	p.306
4.3	The Fundamental Theorem of Calculus	Exercises	p.318
4.4	Indefinite Integrals and the Net Change Theorem	Exercises	p.326
4.5	The Substitution Rule	Exercises	p.335
Concept Check	p.337
True-False Quiz	p.338
Review Exercises	p.338
Problems Plus	p.342

Chapter 5

Applications Of Integration

5.1	Areas Between Curves	Exercises	p.349
5.2	Volumes	Exercises	p.360
5.3	Volumes by Cylindrical Shells	Exercises	p.366
5.4	Work	Exercises	p.371
5.5	Average Value of a Function	Exercises	p.375
Concept Check	p.377
Review Exercises	p.378
Problems Plus	p.380

Chapter 6

Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric …

6.1	Inverse Functions	Exercises	p.390
6.2	Exponential Functions and Their Derivatives	Exercises	p.401
6.3	Logarithmic Functions	Exercises	p.408
6.4	Derivatives of Logarithmic Functions	Exercises	p.418
6.2*	The Natural Logarithmic Function	Exercises	p.428
6.3*	The Natural Exponential Function	Exercises	p.434
6.4*	General Logarithmic and Exponential Functions	Exercises	p.444
6.5	Exponential Growth and Decay	Exercises	p.451
6.6	Inverse Trigonometric Functions	Exercises	p.459
6.7	Hyperbolic Functions	Exercises	p.467
6.8	Indeterminate Forms and l'Hospital's Rule	Exercises	p.477
Concept Check	p.480
True-False Quiz	p.481
Review Exercises	p.481
Problems Plus	p.486

Chapter 7

Techniques Of Integration

7.1	Integration by Parts	Exercises	p.492
7.2	Trigonometric Integrals	Exercises	p.500
7.3	Trigonometric Substitution	Exercises	p.507
7.4	Integration of Rational Functions by Partial Fractions	Exercises	p.516
7.5	Strategy for Integration	Exercises	p.523
7.6	Integration Using Tables and Computer Algebra Systems	Exercises	p.528
7.7	Approximate Integration	Exercises	p.540
7.8	Improper Integrals	Exercises	p.551
Concept Check	p.553
True-False Quiz	p.554
Review Exercises	p.554
Problems Plus	p.558

Chapter 8

Further Applications Of Integration

8.1	Arc Length	Exercises	p.567
8.2	Area of a Surface of Revolution	Exercises	p.574
8.3	Applications to Physics and Engineering	Exercises	p.584
8.4	Applications to Economics and Biology	Exercises	p.590
8.5	Probability	Exercises	p.597
Concept Check	p.599
Review Exercises	p.599
Problems Plus	p.601

Chapter 9

Differential Equations

9.1	Modeling with Differential Equations	Exercises	p.608
9.2	Direction FIelds and Euler's Method	Exercises	p.616
9.3	Separable Equations	Exercises	p.624
9.4	Models for Population Growth	Exercises	p.637
9.5	Linear Equations	Exercises	p.644
9.6	Predator-Prey Systems	Exercises	p.651
Concept Check	p.653
True-False Quiz	p.653
Review Exercises	p.654
Problems Plus	p.657

Chapter 10

Parametric Equations And Polar Coordinates

10.1	Curves Defined by Parametric Equations	Exercises	p.665
10.2	Calculus with Parametric Curves	Exercises	p.675
10.3	Polar Coordinates	Exercises	p.686
10.4	Areas and Lengths in Polar Coordinates	Exercises	p.692
10.5	Conic Sections	Exercises	p.700
10.6	Conic Sections in Polar Coordinates	Exercises	p.708
Concept Check	p.709
True-False Quiz	p.709
Review Exercises	p.710
Problems Plus	p.712

Chapter 11

Infinite Sequences And Series

11.1	Sequences	Exercises	p.724
11.2	Series	Exercises	p.735
11.3	The Integral Test and Estimates of Sums	Exercises	p.744
11.4	The Comparison Tests	Exercises	p.750
11.5	Alternating Series	Exercises	p.755
11.6	Absolute Convergence and the Ratio and Root Tests	Exercises	p.761
11.7	Strategy for Testing Series	Exercises	p.764
11.8	Power Series	Exercises	p.769
11.9	Representations of Functions as Power Series	Exercises	p.775
11.10	Taylor and Maclaurin Series	Exercises	p.789
11.11	Applications of Taylor Polynomials	Exercises	p.798
Concept Check	p.802
True-False Quiz	p.802
Review Exercises	p.803
Problems Plus	p.805

Chapter 12

Vectors And The Geometry Of Space

12.1	Three-Dimensional Coordinate Systems	Exercises	p.814
12.2	Vectors	Exercises	p.822
12.3	The Dot Product	Exercises	p.830
12.4	The Cross Product	Exercises	p.838
12.5	Equations of Lines and Planes	Exercises	p.848
12.6	Cylinders and Quadric Surfaces	Exercises	p.856
Concept Check	p.858
True-False Quiz	p.858
Review Exercises	p.859
Problems Plus	p.861

Chapter 13

Vector Functions

Calculus Of A Single Variable 8th Edition Worked Out Solutions

13.1	Vector Functions and Space Curves	Exercises	p.869
13.2	Derivatives and Integrals of Vector Functions	Exercises	p.876
13.3	Arc Length and Curvature	Exercises	p.884
13.4	Motion in Space: Velocity and Acceleration	Exercises	p.894
Concept Check	p.897
True-False Quiz	p.897
Review Exercises	p.898
Problems Plus	p.900

Chapter 14

Partial Derivatives

14.1	Functions of Several Variables	Exercises	p.912
14.2	Limits and Continuity	Exercises	p.923
14.3	Partial Derivatives	Exercises	p.935
14.4	Tangent Planes and Linear Approximations	Exercises	p.946
14.5	The Chain Rule	Exercises	p.954
14.6	Directional Derivatives and the Gradient Vector	Exercises	p.967
14.7	Maximum and Minimum Values	Exercises	p.977
14.8	Lagrange Multipliers	Exercises	p.987
Concept Check	p.991
True-False Quiz	p.991
Review Exercises	p.992
Problems Plus	p.995

Chapter 15

Calculus ETF 5E

Multiple Integrals

15.1	Double Integrals over Rectangles	Exercises	p.1005
15.2	Iterated Integrals	Exercises	p.1011
15.3	Double Integrals over General Regions	Exercises	p.1019
15.4	Double Integrals in Polar Coordinates	Exercises	p.1026
15.5	Applications of Double Integrals	Exercises	p.1036
15.6	Surface Area	Exercises	p.1040
15.7	Triple Integrals	Exercises	p.1049
15.8	Triple Integrals in Cylindrical Coordinates	Exercises	p.1055
15.9	Triple Integrals in Spherical Coordinates	Exercises	p.1061
15.10	Change of Variables in Multiple Integrals	Exercises	p.1071
Concept Check	p.1073
True-False Quiz	p.1073
Review Exercises	p.1074
Problems Plus	p.1077

Chapter 16

Vector Calculus

16.1	Vector Fields	Exercises	p.1085
16.2	Line Integrals	Exercises	p.1096
16.3	The Fundamental Theorem for Line Integrals	Exercises	p.1106
16.4	Green's Theorem	Exercises	p.1113
16.5	Curl and Divergence	Exercises	p.1121
16.6	Parametric Surfaces and Their Areas	Exercises	p.1132
16.7	Surface Integrals	Exercises	p.1144
16.8	Stokes' Theorem	Exercises	p.1151
16.9	The Divergence Theorem	Exercises	p.1157
Concept Check	p.1160
True-False Quiz	p.1160
Review Exercises	p.1161
Problems Plus	p.1163

Chapter 17

Second-Order Differential Equations

17.1	Second-Order Linear Equations	Exercises	p.1172
17.2	Nonhomogeneous Linear Equations	Exercises	p.1179
17.3	Applications of Second-Order Differential Equations	Exercises	p.1187
17.4	Series Solutions	Exercises	p.1192
Concept Check	p.1193
True-False Quiz	p.1193
Review Exercises	p.1193