 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 14792 students have viewed full stepbystep answer. This expansive textbook survival guide covers the following chapters: 72.

Constraints
See Linear programming problem.

Distance (on a number line)
The distance between real numbers a and b, or a  b

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Implied domain
The domain of a function’s algebraic expression.

Inverse properties
a + 1a2 = 0, a # 1a

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Normal curve
The graph of ƒ(x) = ex2/2

nth root
See Principal nth root

Real part of a complex number
See Complex number.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Stem
The initial digit or digits of a number in a stemplot.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Transpose of a matrix
The matrix AT obtained by interchanging the rows and columns of A.

Unit vector
Vector of length 1.

Variance
The square of the standard deviation.

Xscl
The scale of the tick marks on the xaxis in a viewing window.