Calculus and Its Applications, 2nd edition
Choose the option that's right for you
Single
$9.99 / mo
4month minimum term for $39.96
 Access this eText title
 Up to 2 devices
 Discounted tutor access
Multi
$14.99 / mo
4month minimum term for $59.96
 Access over 1,500 titles
 Up to 2 devices
 Discounted tutor access
Learn more, spend less

Learn anytime, anywhere
Get the app to access your eText whenever you need it

Make it your own
Your notes. Your highlights. Your eText

Find it fast
Quickly navigate your eText with search

Stay organized
Access all your eTexts in one place

Easily continue access
Keep learning with autorenew
Overview
Calculus and Its Applications uses an intuitive approach and anticipates your needs to help you understand, apply, and master principles of calculus.
Published by Pearson (July 15th 2020)  Copyright © 2020
ISBN13: 9780136880196
Subject: Finite Math & Applied Calculus
Category: Applied Calculus
Table of contents
Preface
Prerequisite Skills Diagnostic Test
R. Functions, Graphs, and Models
R.1 Graphs and Equations
R.2 Functions and Models
R.3 Finding Domain and Range
R.4 Slope and Linear Functions
R.5 Nonlinear Functions and Models
R.6 Exponential and Logarithmic Functions
R.7 Mathematical Modeling and Curve Fitting
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Average Price of a Movie Ticket
1. Differentiation
1.1 Limits: A Numerical and Graphical Approach
1.2 Algebraic Limits and Continuity
1.3 Average Rates of Change
1.4 Differentiation Using Limits and Difference Quotients
1.5 Leibniz Notation and the Power and SumDifference Rules
1.6 The Product and Quotient Rules
1.7 The Chain Rule
1.8 HigherOrder Derivatives
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Path of a Baseball: The Tale of the Tape
2. Exponential and Logarithmic Functions
2.1 Exponential and Logarithmic Functions of the Natural Base, e
2.2 Derivatives of Exponential (Base e ) Functions
2.3 Derivatives of Natural Logarithmic Functions
2.4 Applications: Uninhibited and Limited Growth Models
2.5 Applications: Exponential Decay
2.6 The Derivatives of a_{x } and log_{a } x
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: The Business of Motion Picture Revenue and DVD Release
3. Applications of Differentiation
3.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
3.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
3.3 Graph Sketching: Asymptotes and Rational Functions
3.4 Optimization: Finding Absolute Maximum and Minimum Values
3.5 Optimization: Business, Economics, and General Applications
3.6 Marginals, Differentials, and Linearization
3.7 Elasticity of Demand
3.8 Implicit Differentiation and Logarithmic Differentiation
3.9 Related Rates
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Maximum Sustainable Harvest
4. Integration
4.1 Antidifferentiation
4.2 Antiderivatives as Areas
4.3 Area and Definite Integrals
4.4 Properties of Definite Integrals: Additive Property, Average Value, and Moving Average
4.5 Integration Techniques: Substitution
4.6 Integration Techniques: Integration by Parts
4.7 Numerical Integration
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Business and Economics: Distribution of Wealth
5. Applications of Integration
5.1 Consumer and Producer Surplus; Price Floors, Price Ceilings, and Deadweight Loss
5.2 Integrating Growth and Decay Models
5.3 Improper Integrals
5.4 Probability
5.5 Probability: Expected Value; the Normal Distribution
5.6 Volume
5.7 Differential Equations
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Curve Fitting and Volumes of Containers
6. Functions of Several Variables
6.1 Functions of Several Variables
6.2 Partial Derivatives
6.3 MaximumMinimum Problems
6.4 An Application: The LeastSquares Technique
6.5 Constrained Optimization: Lagrange Multipliers and the ExtremeValue Theorem
6.6 Double Integrals
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Minimizing Employees' Travel Time in a Building
7. Trigonometric Functions
7.1 Basics of Trigonometry
7.2 Derivatives of Trigonometric Functions
7.3 Integration of Trigonometric Functions
7.4 Inverse Trigonometric Functions and Applications
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
8. Differential Equations
8.1 Direction Fields, Autonomic Forms, and Population Models
8.2 Applications: Inhibited Growth Models
8.3 FirstOrder Linear Differential Equations
8.4 HigherOrder Differential Equations and a Trigonometry Connection
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
9. Sequences and Series
9.1 Arithmetic Sequences and Series
9.2 Geometric Sequences and Series
9.3 Simple and Compound Interest
9.4 Annuities and Amortization
9.5 Power Series and Linearization
9.6 Taylor Series and a Trigonometry Connection
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
10. Probability Distributions
10.1 A Review of Sets
10.2 Theoretical Probability
10.3 Discrete Probability Distributions
10.4 Continuous Probability Distributions: Mean, Variance, and Standard Deviation
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
11. Systems and Matrices (online only)
11.1 Systems of Linear Equations
11.2 Gaussian Elimination
11.3 Matrices and Row Operations
11.4 Matrix Arithmetic: Equality, Addition, and Scalar Multiples
11.5 Matrix Multiplication, Multiplicative Identities, and Inverses
11.6 Determinants and Cramer's Rule
11.7 Systems of Linear Inequalities and Linear Programming
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
12. Combinatorics and Probability (online only)
12.1 Compound Events and Odds
12.2 Combinatorics: The Multiplication Principle and Factorial Notation
12.3 Permutations and Distinguishable Arrangements
12.4 Combinations and the Binomial Theorem
12.5 Conditional Probability and the Hypergeometric Probability Distribution Model
12.6 Independent Events, Bernoulli Trials, and the Binomial Probability Model
12.7 Bayes Theorem
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
Cumulative Review
Appendix A: Review of Basic Algebra
Appendix B: Indeterminate Forms and l'Hôpital's Rule
Appendix C: Regression and Microsoft Excel
Appendix D: Areas for a Standard Normal Distribution
Appendix E: Using Tables of Integration Formulas
Answers
Index of Applications
Index
Your questions answered
Introducing Pearson+. Reimagined learning, designed for you. Choose from one eText or over 1,500 eTexts and study tools, all in one place, for one low monthly subscription. A new way to buy books that fits your budget. Make the most of your study time with offline access, enhanced search, notes and flashcards — to get organized, get the work done quicker and get results. Plus, with the app, put textbooks in your pocket and learn wherever. It's time to upgrade the textbook and simplify learning, so you can have time to live too.
Pearson eText is an easytouse digital textbook available from Pearson+. Make it your own by adding notes and highlights. Download the Pearson+ mobile app to learn on the go, even offline. Listen on the go with our new audiobook feature, available for most titles.
When you choose a plan, you're signing up for a 4month 'term'. We will charge your payment method each month until your 4month term has ended. You can turn on autorenew in My account at any time to continue your subscription before your 4month term has ended.
When you purchase a Pearson+ subscription, it will last 4 months. Before your initial 4month term ends, you can extend your subscription by turning autorenew on in My account. If you turn autorenew on, we’ll automatically renew your subscription and charge you every month until you turn off autorenew.
To avoid the next payment charge, make sure you turn auto renewal off 1 day before the auto renewal date. You can subscribe again after autorenew has been turned off by purchasing another Pearson+ subscription. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details before your first monthly payment.
With a Multi Pearson+ subscription plan, you can download up to 5 titles on the Pearson+ app from My list on each of your authorized devices every month.
When you're using your Multi Pearson+ subscription plan in a browser, you can select and read from as many titles as you like.