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Calculus with Applications

ISBN-10: 0321228146

ISBN-13: 9780321228147

Edition: 8th 2005 (Revised)

Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

List price: $130.67
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Book details

List price: $130.67
Edition: 8th
Copyright year: 2005
Publisher: Addison Wesley
Publication date: 7/14/2004
Binding: Hardcover
Pages: 864
Size: 8.00" wide x 10.50" long x 1.25" tall
Weight: 3.630
Language: English

R. Algebra Reference
Rational Expressions
Linear Functions
Slopes and Equations of Lines
Linear Functions and Applications
The Least Squares Line
Nonlinear Functions
Properties of Functions
Quadratic Functions
Translation and Reflection
Polynomial and Rational Functions
Exponential Functions
Logarithmic Functions
Growth and Decay
Mathematics of Finance
The Derivative
Rates of Change
Definition of the Derivative
Graphical Differentiation
Calculating the Derivative
Techniques for Finding Derivatives
Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Graphs and the Derivative
Increasing and Decreasing Functions
Relative Extrema
Higher Derivatives, Concavity, and the Second Derivative Test
Curve Sketching
Applications of the Derivative
Absolute Extrema
Applications of Extrema
Further Business Applications: Economic Lot Size, Economic Order Quantity
Elasticity of Demand
Implicit Differentiation
Related Rates
Differentials: Linear Approximation
Area and the Definite Integral
The Fundamental Theorem of Calculus
The Area Between Two Curves
Numerical Integration
Further Techniques and Applications of Integration
Integration by Parts
Volume and Average Value
Continuous Money Flow
Improper Integrals
Multivariable Calculus
Functions of Several Variables
Partial Derivatives
Maxima and Minima
Lagrange Multipliers
Total Differentials and Approximations
Double Integrals
Differential Equations
Solutions of Elementary and Separable Differential Equations
Linear First-Order Differential Equations
Euler's Method
Applications of Differential Equations
Probability and Calculus
Continuous Probability Models
Expected Value and Variance of Continuous Random Variables
Special Probability Density Functions
Sequences and Series
Geometric Sequences
Annuities: An Application of Sequences
Taylor Polynomials at 0
Infinite Series
Taylor Series
Newton's Method
L'Hocirc;spital's Rule
The Trigonometric Functions
Definitions of the Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
Formulas from Geometry
Area Under a Normal Curve
Integrals Involving Trigonometric Functions