Calculus with Applications, Global Edition

Name: Calculus with Applications, Global Edition
Price: 4490 ISK
Availability: InStock
Author: Margaret L. Lial; Raymond N. Greenwell; Nathan P. Ritchey
ISBN: 9781292766454

Höfundar: Margaret L. Lial; Raymond N. Greenwell; Nathan P. Ritchey (Útgáfa: 12)

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Útgefandi: Pearson International Content

ISBN: 9781292766454

Print ISBN: 9781292498744

Format: ePub

Útgáfa: 12

Höfundar: Margaret L. Lial; Raymond N. Greenwell; Nathan P. Ritchey

Tungumál: English

Útgefið: 2026-09-08

Prent takmörkun á líftíma: 100

Prent takmörkun: 2

Afritunar takmörkun: 2

Kaflar

Cover
Cover
Front Matter
Title Page
Copyright Page
Contents
Preface
Prerequisite Skills Diagnostic Test
Interactives Resources
Chapter R: Algebra Reference
Chapter R Introduction
R.1 Polynomials
R.1 Exercises
R.2 Factoring
R.2 Exercises
R.3 Rational Expressions
R.3 Exercises
R.4 Equations
R.4 Exercises
R.5 Inequalities
R.5 Exercises
R.6 Exponents
R.6 Exercises
R.7 Radicals
R.7 Exercises
Chapter 1: Linear Functions
Chapter 1 Introduction
1.1 Slopes and Equations of Lines
1.1 Exercises
1.2 Linear Functions and Applications
1.2 Exercises
1.3 The Least Squares Line
1.3 Exercises
Chapter 1 Review
Chapter 1 Extended Application: Predicting Life Expectancy
Chapter 2: Nonlinear Functions
Chapter 2 Introduction
2.1 Properties of Functions
2.1 Exercises
2.2 Quadratic Functions; Translation and Reflection
2.2 Exercises
2.3 Polynomial and Rational Functions
2.3 Exercises
2.4 Exponential Functions
2.4 Exercises
2.5 Logarithmic Functions
2.5 Exercises
2.6 Applications: Growth and Decay; Mathematics of Finance
2.6 Exercises
Chapter 2 Review
Chapter 2 Extended Application: Power Functions
Chapter 3: The Derivative
Chapter 3 Introduction
3.1 Limits
3.1 Exercises
3.2 Continuity
3.2 Exercises
3.3 Rates of Change
3.3 Exercises
3.4 Definition of the Derivative
3.4 Exercises
3.5 Graphical Differentiation
3.5 Exercises
Chapter 3 Review
Chapter 3 Extended Application: A Model for Drugs Administered Intravenously
Chapter 4: Calculating the Derivative
Chapter 4 Introduction
4.1 Techniques for Finding Derivatives
4.1 Exercises
4.2 Derivatives of Products and Quotients
4.2 Exercises
4.3 The Chain Rule
4.3 Exercises
4.4 Derivatives of Exponential Functions
4.4 Exercises
4.5 Derivatives of Logarithmic Functions
4.5 Exercises
Chapter 4 Review
Chapter 4 Extended Application: Electric Potential and Electric Field
Chapter 5: Graphs and the Derivative
Chapter 5 Introduction
5.1 Increasing and Decreasing Functions
5.1 Exercises
5.2 Relative Extrema
5.2 Exercises
5.3 Higher Derivatives, Concavity, and the Second Derivative Test
5.3 Exercises
5.4 Curve Sketching
5.4 Exercises
Chapter 5 Review
Chapter 5 Extended Application: A Drug Concentration Model for Orally Administered Medications
Chapter 6: Applications of the Derivative
Chapter 6 Introduction
6.1 Absolute Extrema
6.1 Exercises
6.2 Applications of Extrema
6.2 Exercises
6.3 Further Business Applications
6.3 Exercises
6.4 Implicit Differentiation
6.4 Exercises
6.5 Related Rates
6.5 Exercises
6.6 Differentials: Linear Approximation
6.6 Exercises
Chapter 6 Review
Chapter 6 Extended Application: A Total Cost Model for a Training Program
Chapter 7: Integration
Chapter 7 Introduction
7.1 Antiderivatives
7.1 Exercises
7.2 Substitution
7.2 Exercises
7.3 Area and the Definite Integral
7.3 Exercises
7.4 The Fundamental Theorem of Calculus
7.4 Exercises
7.5 The Area Between Two Curves
7.5 Exercises
7.6 Numerical Integration
7.6 Exercises
Chapter 7 Review
Chapter 7 Extended Application: Estimating Depletion Dates for Minerals
Chapter 8: Further Techniques and Applications of Integration
Chapter 8 Introduction
8.1 Integration by Parts
8.1 Exercises
8.2 Volume and Average Value
8.2 Exercises
8.3 Continuous Money Flow
8.3 Exercises
8.4 Improper Integrals
8.4 Exercises
Chapter 8 Review
Chapter 8 Extended Application: Estimating Learning Curves in Manufacturing with Integrals
Chapter 9: Multivariable Calculus
Chapter 9 Introduction
9.1 Functions of Several Variables
9.1 Exercises
9.2 Partial Derivatives
9.2 Exercises
9.3 Maxima and Minima
9.3 Exercises
9.4 Lagrange Multipliers
9.4 Exercises
9.5 Total Differentials and Approximations
9.5 Exercises
9.6 Double Integrals
9.6 Exercises
Chapter 9 Review
Chapter 9 Extended Application: Using Multivariable Fitting to Create a Response Surface Design
Chapter 10: Differential Equations
Chapter 10 Introduction
10.1 Solutions of Elementary and Separable Differential Equations
10.1 Exercises
10.2 Linear First-Order Differential Equations
10.2 Exercises
10.3 Euler's Method
10.3 Exercises
10.4 Applications of Differential Equations
10.4 Exercises
Chapter 10 Review
Chapter 10 Extended Application: Pollution of a Lake
Chapter 11: Probability and Calculus
Chapter 11 Introduction
11.1 Continuous Probability Models
11.1 Exercises
11.2 Expected Value and Variance of Continuous Random Variables
11.2 Exercises
11.3 Special Probability Density Functions
11.3 Exercises
Chapter 11 Review
Chapter 11 Extended Application: Exponential Waiting Times
Chapter 12: Sequences and Series
Chapter 12 Introduction
12.1 Geometric Sequences
12.1 Exercises
12.2 Annuities: An Application of Sequences
12.2 Exercises
12.3 Taylor Polynomials at 0
12.3 Exercises
12.4 Infinite Series
12.4 Exercises
12.5 Taylor Series at 0
12.5 Exercises
12.6 Newton's Method
12.6 Exercises
12.7 L'Hospital's Rule
12.7 Exercises
Chapter 12 Review
Chapter 12 Extended Application: Living Assistance and Subsidized Housing
Chapter 13: The Trigonometric Functions
Chapter 13 Introduction
13.1 Definitions of the Trigonometric Functions
13.1 Exercises
13.2 Derivatives of Trigonometric Functions
13.2 Exercises
13.3 Integrals of Trigonometric Functions
13.3 Exercises
Chapter 13 Review
Chapter 13 Extended Application: The Shortest Time and the Cheapest Path
Appendix A: Solutions to Prerequisite Skills Diagnostic Test
Appendix A: Solutions to Prerequisite Skills Diagnostic Test
Appendix B: Tables
Appendix B: Tables
Answers to Selected Exercises
Answers to Prerequisite Skills Diagnostic Test
Chapter R Algebra Reference
Chapter 1 Linear Functions
Chapter 2 Nonlinear Functions
Chapter 3 The Derivative
Chapter 4 Calculating the Derivative
Chapter 5 Graphs and the Derivative
Chapter 6 Applications of the Derivative
Chapter 7 Integration
Chapter 8 Further Techniques and Applications of Integration
Chapter 9 Multivariable Calculus
Chapter 10 Differential Equations
Chapter 11 Probability and Calculus
Chapter 12 Sequences and Series
Chapter 13 The Trigonometric Functions
Credits
Credits
Index of Applications
Business and Economics
General Interest
Life and Health Sciences
Physical Sciences
Social Sciences
Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Sources
Chapter 1: Sources
Key Definitions, Theorems, and Formulas
Key Definitions, Theorems, and Formulas
Glossary