- 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: PREDATOR-PREY 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
Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition - Solutions by ChapterGet Full Solutions
Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal
See Inverse cosine function.
See Linear programming problem.
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)
The complex number.
nth root of unity
A complex number v such that vn = 1
A function in which each element of the range corresponds to exactly one element in the domain
One-to-one rule of logarithms
x = y if and only if logb x = logb y.
The graph of parametric equations.
The process of fitting a polynomial of degree n to (n + 1) points.
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.
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.
Vector of length 1.
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>.
A visualization of the relationships among events within a sample space.