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Calculus with Applications,9780321016317
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Calculus with Applications

by ; ;
ISBN13:

9780321016317

ISBN10:
0321016319
Format:
Hardcover
Pub. Date:
10/1/1997
Publisher(s):
Pearson College Div
List Price: $116.00

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Summary

Widely known for incorporating interesting, relevant, realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events,and graphing calculator programs tied to the text.

Table of Contents

Preface ix
Index of Applications xv
Algebra Reference
Polynomials xx
Factoring xxiii
Rational Expressions xxv
Equations xxix
Inequalities xxxv
Exponents xl
Radicals xliv
Linear Functions
Slope and Equations of a Line
2(13)
Linear Functions
15(12)
Linear Mathematical Models
27(10)
Constructing a Mathematical Model
37(17)
Review Exercises
49(3)
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants
52(2)
Nonlinear Functions
Properties of Functions
54(13)
Quadratic Functions
67(8)
Translations and Reflections of Functions
75(7)
Polynomial and Rational Functions
82(14)
Exponential Functions
96(11)
Logarithmic Functions
107(14)
Applications: Growth and Decay; Mathematics of Finance
121(23)
Review Exercises
134(8)
Extended Application: Characteristics of the Monkeyface Prickleback
142(2)
The Derivative
Limits
144(17)
Continuity
161(7)
Rates of Change
168(14)
Definition of the Derivative
182(18)
Graphical Differentiation
200(12)
Review Exercises
206(6)
Calculating the Derivative
Techniques for Finding Derivatives
212(13)
Derivatives of Products and Quotients
225(7)
The Chain Rule
232(10)
Derivatives of Exponential Functions
242(6)
Derivatives of Logarithmic Functions
248(10)
Review Exercises
254(4)
Graphs and the Derivative
Increasing and Decreasing Functions
258(10)
Relative Extrema
268(13)
Higher Derivatives, Concavity, and the Second Derivative Test
281(14)
Curve Sketching
295(13)
Review Exercises
303(5)
Applications of the Derivative
Absolute Extrema
308(8)
Applications of Extrema
316(11)
Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
327(9)
Implicit Differentiation
336(5)
Related Rates
341(6)
Differentials: Linear Approximation
347(13)
Review Exercises
353(3)
Extended Application: A Total Cost Model for a Training Program
356(1)
Extended Application: The Effect of Oil Price on the Optimal Speed of Ships
357(3)
Integration
Antiderivatives
360(11)
Substitution
371(8)
Area and the Definite Integral
379(13)
The Fundamental Theorem of Calculus
392(10)
The Area Between Two Curves
402(9)
Numerical Integration
411(17)
Review Exercises
421(4)
Extended Application: Estimating Depletion Dates for Minerals
425(3)
Further Techniques and Applications of Integration
Integration by Parts; Tables of Integrals
428(8)
Volume and Average Value
436(6)
Continuous Money Flow
442(8)
Improper Integrals
450(12)
Review Exercises
455(3)
Extended Application: How Much Does a Warranty Cost?
458(4)
Multivariable Calculus
Functions of Several Variables
462(11)
Partial Derivatives
473(10)
Maxima and Minima
483(9)
Lagrange Multipliers
492(7)
Total Differentials and Approximations
499(5)
Double Integrals
504(20)
Review Exercises
516(5)
Extended Application: Lagrange Multipliers for a Predator
521(3)
Differential Equations
Solutions of Elementary and Separable Differential Equations
524(12)
Linear First-Order Differential Equations
536(5)
Euler's Method
541(7)
Applications of Differential Equations
548(16)
Review Exercises
558(3)
Extended Application: Pollution of the Great Lakes
561(3)
Probability and Calculus
Continuous Probability Models
564(7)
Expected Value and Variance of Continuous Random Variables
571(6)
Special Probability Density Functions
577(19)
Review Exercises
589(3)
Extended Application: A Crop-Planting Model
592(4)
The Trigonometric Functions
Definitions of the Trigonometric Functions
596(12)
Derivatives of Trigonometric Functions
608(6)
Integrals of Trigonometric Functions
614(5)
Applications
619(4)
Review Exercises
623(3)
Extended Application: Light Intensity in Water
626
Tables
Table 1: Formulas from Geometry
A-1
Table 2: Area Under a Normal Curve
A-2
Table 3: Integrals
A-4
Table 4: Integrals Involving Trigonometric Functions
A-5
Answers to Selected Exercises A-7
Index I-1


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