9780201338645

Calculus and Its Applications

by
  • ISBN13:

    9780201338645

  • ISBN10:

    0201338645

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 10/1/1999
  • Publisher: Pearson College Div
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Supplemental Materials

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Summary

Calculus and Its Applications has, for years, been a best-selling text for one simple reason: it anticipates, then meets the needs of today's applied calculus student. Knowing that calculus is a course in which students typically struggle--both with algebra skills and visualizing new calculus concepts--Bittinger and Ellenbogen speak to students in a way they understand, taking great pains to provide clear and careful explanations.&Since most&students taking this course will go on to careers in the business world, &large quantities of real data, especially as they apply to&business, are included as well.

Table of Contents

Functions, Graphs, and Models
1(94)
Graphs and Equations
2(12)
Functions and Models
14(15)
Finding Domain and Range
29(11)
Slope and Linear Functions
40(16)
Other Types of Functions
56(18)
Mathematical Modeling and Curve Fitting
74(21)
Summary and Review
86(3)
Test
89(2)
Extended Technology Application The Ecological Effect of Global Warming
91(4)
Differentiation
95(90)
Limits and Continuity: Numerically and Graphically
96(13)
Limits: Algebraically
109(5)
Average Rates of Change
114(10)
Differentiation Using Limits of Difference Quotients
124(14)
Differentiation Techniques: The Power and Sum--Difference Rules
138(11)
Instantaneous Rates of Change; Business Applications
149(9)
Differentiation Techniques: The Product and Quotient Rules
158(8)
The Chain Rule
166(8)
Higher-Order Derivatives
174(11)
Summary and Review
178(10)
Test
188
Extended Technology Application Path of a Baseball: The Tale of the Tape
181(4)
Applications of Differentiation
185(100)
Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
186(16)
Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
202(14)
Graph Sketching: Asymptotes and Rational Functions
216(18)
Using Derivatives to Find Absolute Maximum and Minimum Values
234(15)
Maximum--Minimum Problems: Business and Economics Applications
249(17)
Differentials
266(7)
Implicit Differentiation and Related Rates
273(12)
Summary and Review
279(2)
Test
281(2)
Extended Technology Application Maximum Sustainable Harvest
283(2)
Exponential and Logarithmic Functions
285(78)
Exponential Functions
286(14)
Logarithmic Functions
300(17)
Applications: The Uninhibited Growth Model, dP/dt = kP
317(15)
Applications: Decay
332(13)
The Derivatives of ax and loga X
345(5)
An Economics Application: Elasticity of Demand
350(13)
Summary and Review
356(2)
Test
358(2)
Extended Technology Application The Business of Motion-Picture Box-Office Revenue
360(3)
Integration
363(70)
Integration
364(9)
Area and Definite Integrals
373(14)
Limits of Sums and Accumulations
387(13)
Properties of Definite Integrals
400(8)
Integration Techniques: Substitution
408(6)
Integration Techniques: Integration by Parts
414(8)
Integration Techniques: Tables
422(11)
Summary and Review
428(1)
Test
429(2)
Extended Technology Application Total Sales of Sherwin-Williams, Intel, Sprint, and The Gap
431(2)
Applications of Integration
433(62)
An Economics Application: Consumer's Surplus and Producer's Surplus
434(6)
Applications of the Models ∫ To Poekt dt and ∫ To Poe-kt dt
440(8)
Improper Integrals
448(6)
Probability
454(11)
Probability: Expected Value; The Normal Distribution
465(12)
Volume
477(3)
Differential Equations
480(15)
Summary and Review
489(2)
Test
491(2)
Extended Technology Application Curve Fitting and the Volume of a Bottle of Soda
493(2)
Functions of Several Variables
495(54)
Functions of Several Variables
496(7)
Partial Derivatives
503(6)
Higher-Order Partial Derivatives
509(3)
Maximum--Minimum Problems
512(11)
An Application: The Least-Squares Technique
523(8)
Constrained Maximum and Minimum Values: Lagrange Multipliers
531(8)
Multiple Integration
539(10)
Summary and Review
543(2)
Test
545(1)
Extended Technology Application Minimizing Employees' Travel Time in a Building
546(3)
Cumulative Review 549(4)
Appendix: Review of Basic Algebra 553(16)
Tables
Table 1 Integration Formulas
567(2)
Table 2 Areas for a Standard Normal Distribution
569
Answers A-1
Index I-1

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