Calculus By Salas Hille Etgen 10th Edition Pdf

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Chapter 1

Calculus 9th Edition By Salas Hille Etgen
Calculus By Salas Hille Etgen 10th Edition Pdf Pdf
Calculus By Salas Hille Etgen 10th Edition Pdf

Precalculus Review

1-2	Review of Elementary Mathematics	Exercises	p.10
1-3	Review of Inequalities	Exercises	p.16
1-4	Coordinate Plane; Analytic Geometry	Exercises	p.23
1-5	Functions	Exercises	p.30
1-6	The Elementary Functions	Exercises	p.39
1-7	Combinations of Functions	Exercises	p.45
1-8	A Note on Mathematical Proof; Mathematical Induction	Exercises	p.51
Review Exercises	p.51

Chapter 2

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Limits And Continuity

2-1	The Limit Process (An Intuitive Introduction)	Exercises	p.61
2-2	Definition of Limit	Exercises	p.71
2-3	Some Limit Theorems	Exercises	p.79
2-4	Continuity	Exercises	p.88
2-5	The Pinching Theorem; Trigonometric Limits	Exercises	p.96
2-6	The Basic Theorems	Exercises	p.100
Problems	p.102
Review Exercises	p.103

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Chapter 3

Calculus By Salas Hille Etgen 10th Edition Pdf

The Derivative; The Process Of Differentiation

3-1	The Derivative	Exercises	p.112
3-2	Some Differentiation Formulas	Exercises	p.122
3-3	The d/dx Notation; Derivatives of Higher Order	Exercises	p.128
3-4	The Derivative as a Rate of Change	Exercises	p.132
3-5	The Chain Rule	Exercises	p.138
Problems	p.141
3-6	Differentiating the Trigonometric Functions	Exercises	p.145
3-7	Implicit Differentiation; Rational Powers	Exercises	p.150
Review Exercises	p.152

Chapter 4

The Mean-Value Theorem; Applications Of The First …

4-1	The Mean-Value Theorem	Exercises	p.158
4-2	Increasing and Decreasing Functions	Exercises	p.165
4-3	Local Extreme Values	Exercises	p.173
4-4	Endpoint Extreme Values; Absolute Extreme Values	Exercises	p.180
4-5	Some Max-Min Problems	Exercises	p.187
Problems	p.190
4-6	Concavity and Points of Inflection	Exercises	p.193
4-7	Vertical and Horizontal Asymptotes; Vertical Tangents and Cusps	Exercises	p.200
4-8	Some Curve Sketching	Exercises	p.208
4-9	Velocity and Acceleration; Speed	Exercises	p.215
Project 4.9A Problems	p.217
Project 4.9B Problems	p.217
4-10	Related Rates of Change Per Unit Time	Exercises	p.221
4-11	Differentials	Exercises	p.226
Problems	p.229
4-12	Newton-Raphson Approximations	Exercises	p.231
Review Exercises	p.232

Chapter 5

Integration

5-2	The Definite Integral of a Continuous Function	Exercises	p.245
5-3	The Function f(x) =∫ f(t) dt	Exercises	p.252
5-4	The Fundamental Theorem of Integral Calculus	Exercises	p.258
5-5	Some Area Problems	Exercises	p.265
Problems	p.268
5-6	Indefinite Integrals	Exercises	p.273
5-7	Working Back From the Chain Rule; the u-Substitution	Exercises	p.279
5-8	Additional Properties of the Definite Integral	Exercises	p.284
5-9	Mean-Value Theorems for Integrals; Average Value of a Function	Exercises	p.289
Review Exercises	p.290

Chapter 6

Some Applications Of The Integral

6-1	More on Area	Exercises	p.295
6-2	Volume by Parallel Cross Sections; Disks and Washers	Exercises	p.304
6-3	Volume by the Shell Method	Exercises	p.311
6-4	The Centroid of a Region; Pappu's Theorem on Volumes	Exercises	p.317
Problems	p.319
6-5	The Notion of Work	Exercises	p.325
6-6	Fluid Force	Exercises	p.330
Review Exercises	p.330

Chapter 7

The Transcendental Functions

7-1	One-to-One Functions; Inverses	Exercises	p.340
7-2	The Logarithm Function, Part I	Exercises	p.346
7-3	The Logarithm Function, Part II	Exercises	p.354
7-4	The Exponential Function	Exercises	p.362
Problems	p.364
7-5	Arbitrary Powers; Other Bases	Exercises	p.369
7-6	Exponential Growth and Decay	Exercises	p.376
7-7	The Inverse Trigonometric Functions	Exercises	p.385
Problems	p.387
7-8	The Hyperbolic Sine and Cosine	Exercises	p.391
7-9	The Other Hyperbolic Functions	Exercises	p.395
Review Exercises	p.396

Chapter 8

Techniques Of Integration

8-1	Integral Tables and Review	Exercises	p.401
8-2	Integration by Parts	Exercises	p.408
Problems	p.410
8-3	Powers and Products of Trigonometric Functions	Exercises	p.415
8-4	Integrals Featuring √(a^2-x^2), √(a^2+x^2), √(x^2-a^2)	Exercises	p.421
8-5	Rational Functions; Partial Fractions	Exercises	p.429
8-6	Some Rationalizing Substitutions	Exercises	p.433
8-7	Numerical Integration	Exercises	p.440
Review Exercises	p.441

Chapter 9

Some Differential Equations

9-1	First-Order Equations	Exercises	p.449
9-2	Integral Curves; Separable Equations	Exercises	p.457
Problems	p.458
9-3	The Equation y'+ay'+by=0	Exercises	p.465
Review Exercises	p.467

Chapter 10

The Conic Sections; Polar Coordinates; Parametric Equations

10-1	Geometry of Parabola, Ellipse, Hyperbola	Exercises	p.476
10-2	Polar Coordinates	Exercises	p.483
10-3	Sketching Curves in Polar Coordinates	Exercises	p.490
Problems	p.491
10-4	Area in Polar Coordinates	Exercises	p.495
10-5	Curves Given Parametrically	Exercises	p.501
Problems	p.503
10-6	Tangents to Curves Given Parametrically	Exercises	p.508
10-7	Arc Length and Speed	Exercises	p.515
10-8	The Area of a Surface of Revolution; The Centroid of a Curve; Pappu's Theorem on Surface Area	Exercises	p.523
Problems	p.525
Review Exercises	p.526

Chapter 11

Sequences; Indeterminate Forms; Improper Integrals

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11-1	The Least Upper Bound Axiom	Exercises	p.531
11-2	Sequences of Real Numbers	Exercises	p.536
11-3	Limit of a Sequence	Exercises	p.546
Problems	p.547
11-4	Some Important Limits	Exercises	p.552
11-5	The Indeterminate Form (∞/∞)	Exercises	p.558
11-6	The Indeterminate Form (0/0); Other Indeterminate Forms	Exercises	p.563
11-7	Improper Integrals	Exercises	p.571
Review Exercises	p.573

Chapter 12

Infinite Series

12-1	Sigma Notation	Exercises	p.577
12-2	Infinite Series	Exercises	p.584
12-3	The Integral Test; Basic Comparison Limit Comparison	Exercises	p.592
12-4	The Root Test; The Ratio Test	Exercises	p.596
12-5	Absolute Convergence and Conditional Convergence; Alternating Series	Exercises	p.601
12-6	Taylor Polynomials in x; Taylor Series In x	Exercises	p.611
12-7	Taylor Polynomials and Taylor Series in x-a	Exercises	p.616
12-8	Power Series	Exercises	p.622
12-9	Differentiation and Integration of Power Series	Exercises	p.632
Project 12.9A Problems	p.633
Project 12.9B Problems	p.634
Review Exercises	p.636

Chapter 13

Vectors In Three-Dimensional Space

13-1	Rectangular Space Coordinates	Exercises	p.643
13-2	Vectors in Three-Dimensional Space	Exercises	p.651
13-3	The Dot Product	Exercises	p.661
Problems	p.663
13-4	The Cross Product	Exercises	p.670
13-5	Lines	Exercises	p.677
13-6	Planes	Exercises	p.686
Problems	p.688
13-7	Higher Dimensions	Exercises	p.690

Chapter 14

Vector Calculus

14-1	Limit, Continuity, Vector Derivative	Exercises	p.699
14-2	The Rules of Differentiation	Exercises	p.704
14-3	Curves	Exercises	p.713
14-4	Arc Length	Exercises	p.720
Problems	p.721
14-5	Curvilinear Motion; Curvature	Exercises	p.731
Project 14.5A Problems	p.732
Project 14.5B Problems	p.733
14-6	Vector Calculus in Mechanics	Exercises	p.740
14-7	Planetary Motion	Exercises	p.746
Review Exercises	p.746

Calculus 9th Edition By Salas Hille Etgen

Chapter 15

Functions Of Several Variables

15-1	Elementary Examples	Exercises	p.751
15-2	A Brief Catalogue of the Quadric Surfaces; Projections	Exercises	p.757
15-3	Graphs; Level Curves and Level Surfaces	Exercises	p.764
Problems	p.766
15-4	Partial Derivatives	Exercises	p.772
15-5	Open and Closed Sets	Exercises	p.777
15-6	Limits and Continuity; Equality of Mixed Partials	Exercises	p.784
Problems	p.785
Review Exercises	p.786

Chapter 16

Gradients; Extreme Values; Differentials

16-1	Differentiability and Gradient	Exercises	p.793
16-2	Gradients and Directional Derivatives	Exercises	p.803
16-3	The Mean-Value Theorem; The Chain Rule	Exercises	p.815
16-4	The Gradient as a Normal; Tangent Lines and Tangent Planes	Exercises	p.827
16-5	Local Extreme Values	Exercises	p.835
16-6	Absolute Extreme Value	Exercises	p.840
16-7	Maxima and Minima with Side Conditions	Exercises	p.848
Problems	p.849
16-8	Differentials	Exercises	p.853
16-9	Reconstructing a Function from its Gradient	Exercises	p.861
Review Exercises	p.861

Chapter 17

Double And Triple Integrals

17-1	Multiple-Sigma Notation	Exercises	p.866
17-2	Double Integrals	Exercises	p.877
17-3	The Evaluation of Double Integrals by Repeated Integrals	Exercises	p.887
17-4	The Double Integral as the Limit of Riemann Sums; Polar Coordinates	Exercises	p.894
17-5	Further Applications of the Double Integral	Exercises	p.900
17-6	Triple Integrals	Exercises	p.907
17-7	Reduction to Repeated Integrals	Exercises	p.914
17-8	Cylindrical Coordinates	Exercises	p.921
17-9	The Triple Integral as the Limit of Riemann Sums; Spherical Coordinates	Exercises	p.929
17-10	Jacobians; Changing Variables in Multiple Integration	Exercises	p.934
Problems	p.935
Review Exercises	p.936

Chapter 18

Line Integrals And Surface Integrals

18-1	Line Integrals	Exercises	p.945
18-2	The Fundamentals Theorem for Line Integrals	Exercises	p.949
18-3	Work-Energy Formula; Conservation of Mechanical Energy	Exercises	p.953
18-4	Another Notation for Line Integrals; Line Integrals with Respect to Arc Length	Exercises	p.958
18-5	Green's Theorem	Exercises	p.966
18-6	Parametrized Surfaces; Surface Area	Exercises	p.978
18-7	Surface Integrals	Exercises	p.988
18-8	The Vector Differential Operator ∇	Exercises	p.994
18-9	The Divergence Theorem	Exercises	p.999
Problems	p.1000
18-10	Stoke's Theorem	Exercises	p.1006
Review Exercises	p.1007

Chapter 19

Additional Differential Equations

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19-1	Bernoulli Equations; Homogeneous Equations	Exercises	p.1013
19-2	Exact Differential Equations; Integrating Factors	Exercises	p.1018
19-3	Numerical Methods	Exercises	p.1021
Problems	p.1022
19-4	The Equation y'+ay'+by =ϕ(x)	Exercises	p.1029
19-5	Mechanical Vibrations	Exercises	p.1037
Review Exercises	p.1039

Chapter Appendix A

Calculus By Salas Hille Etgen 10th Edition Pdf Pdf

Some Additional Topics

Calculus By Salas Hille Etgen 10th Edition Pdf

A-2

Determinants

Exercises

p.A6