 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 Patricia 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 Patricia, 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 9060 students have viewed full stepbystep answer. This expansive textbook survival guide covers the following chapters: 72.

Acute angle
An angle whose measure is between 0° and 90°

Combination
An arrangement of elements of a set, in which order is not important

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Index of summation
See Summation notation.

Initial value of a function
ƒ 0.

Instantaneous rate of change
See Derivative at x = a.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Outcomes
The various possible results of an experiment.

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Scalar
A real number.

Second quartile
See Quartile.

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

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

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

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.