 Chapter 1: FUNCTIONS AND MODELS
 Chapter 1.1: FUNCTIONS AND MODELS
 Chapter 1.2: MATHEMATICAL MODELS: A CATALOG OF ESSENTIAL FUNCTIONS
 Chapter 1.3: NEW FUNCTIONS FROM OLD FUNCTIONS
 Chapter 1.4: GRAPHING CALCULATORS AND COMPUTERS
 Chapter 1.5: EXPONENTIAL FUNCTIONS
 Chapter 1.6: INVERSE FUNCTIONS AND LOGARITHMS
 Chapter 1.7: PARAMETRIC CURVES
 Chapter 2: LIMITS AND DERIVATIVES
 Chapter 2.1: THE TANGENT AND VELOCITY PROBLEMS
 Chapter 2.2: THE LIMIT OF A FUNCTION
 Chapter 2.3: CALCULATING LIMITS USING THE LIMIT LAWS
 Chapter 2.4: CONTINUITY
 Chapter 2.5: LIMITS INVOLVING INFINITY
 Chapter 2.6: DERIVATIVES AND RATES OF CHANGE
 Chapter 2.7: THE DERIVATIVE AS A FUNCTION
 Chapter 2.8: WHAT DOES SAY ABOUT ?
 Chapter 3: DIFFERENTIATION RULES
 Chapter 3.1: DERIVATIVES OF POLYNOMIALS AND EXPONENTIAL FUNCTIONS
 Chapter 3.2: THE PRODUCT AND QUOTIENT RULES
 Chapter 3.3: DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
 Chapter 3.4: THE CHAIN RULE
 Chapter 3.5: IMPLICIT DIFFERENTIATION
 Chapter 3.6: INVERSE TRIGONOMETRIC FUNCTIONS AND THEIR DERIVATIVES
 Chapter 3.7: DERIVATIVES OF LOGARITHMIC FUNCTIONS
 Chapter 3.8: RATES OF CHANGE IN THE NATURAL AND SOCIAL SCIENCES
 Chapter 3.9: LINEAR APPROXIMATIONS AND DIFFERENTIALS
 Chapter 4: APPLICATIONS OF DIFFERENTIATION
 Chapter 4.1: RELATED RATES
 Chapter 4.2: MAXIMUM AND MINIMUM VALUES
 Chapter 4.3: DERIVATIVES AND THE SHAPES OF CURVES
 Chapter 4.4: GRAPHING WITH CALCULUS AND CALCULATORS
 Chapter 4.5: INDETERMINATE FORMS AND LHOSPITALS RULE
 Chapter 4.6: OPTIMIZATION PROBLEMS
 Chapter 4.7: NEWTONS METHOD
 Chapter 4.8: ANTIDERIVATIVES
 Chapter 5: INTEGRALS
 Chapter 5.1: AREAS AND DISTANCES
 Chapter 5.10: IMPROPER INTEGRALS
 Chapter 5.2: THE DEFINITE INTEGRAL
 Chapter 5.3: EVALUATING DEFINITE INTEGRALS
 Chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS
 Chapter 5.5: THE SUBSTITUTION RULE
 Chapter 5.6: INTEGRATION BY PARTS
 Chapter 5.7: ADDITIONAL TECHNIQUES OF INTEGRATION
 Chapter 5.8: INTEGRATION USING TABLES AND COMPUTER ALGEBRA SYSTEMS
 Chapter 5.9: APPROXIMATE INTEGRATION
 Chapter 6: APPLICATIONS OF INTEGRATION
 Chapter 6.1: MORE ABOUT AREAS
 Chapter 6.2: VOLUMES
 Chapter 6.3: VOLUMES BY CYLINDRICAL SHELLS
 Chapter 6.4: ARC LENGTH
 Chapter 6.5: AVERAGE VALUE OF A FUNCTION
 Chapter 6.6: APPLICATIONS TO PHYSICS AND ENGINEERING
 Chapter 6.7: APPLICATIONS TO ECONOMICS AND BIOLO
 Chapter 6.8: PROBABILITY
 Chapter 7: DIFFERENTIAL EQUATIONS
 Chapter 7.1: MODELING WITH DIFFERENTIAL EQUATIONS
 Chapter 7.2: DIRECTION FIELDS AND EULERS METHOD
 Chapter 7.3: SEPARABLE EQUATIONS
 Chapter 7.4: EXPONENTIAL GROWTH AND DECAY
 Chapter 7.5: THE LOGISTIC EQUATION
 Chapter 7.6: PREDATORPREY SYSTEMS
 Chapter 8: INFINITE SEQUENCES AND SERIES
 Chapter 8.1: SEQUENCES
 Chapter 8.2: SERIES
 Chapter 8.3: THE INTEGRAL AND COMPARISON TESTS; ESTIMATING SUMS
 Chapter 8.4: OTHER CONVERGENCE TESTS
 Chapter 8.5: POWER SERIES
 Chapter 8.6: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES
 Chapter 8.7: TAYLOR AND MACLAURIN SERIES
 Chapter 8.8: APPLICATIONS OF TAYLOR POLYNOMIALS
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) 4th Edition  Solutions by Chapter
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition  Solutions by Chapter
Get Full SolutionsSingle Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. The full stepbystep solution to problem in Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) were answered by , our top Calculus solution expert on 03/05/18, 08:43PM. Since problems from 72 chapters in Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) have been answered, more than 18344 students have viewed full stepbystep answer. This expansive textbook survival guide covers the following chapters: 72.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

Arccosine function
See Inverse cosine function.

Constraints
See Linear programming problem.

Cosecant
The function y = csc x

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Imaginary unit
The complex number.

Initial point
See Arrow.

nth root of unity
A complex number v such that vn = 1

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Parametric curve
The graph of parametric equations.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Range (in statistics)
The difference between the greatest and least values in a data set.

Real part of a complex number
See Complex number.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Unit vector
Vector of length 1.

Variance
The square of the standard deviation.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Venn diagram
A visualization of the relationships among events within a sample space.