- 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
A sequence of equal periodic payments.
Average rate of change of ƒ over [a, b]
The number ƒ(b) - ƒ(a) b - a, provided a ? b.
Characteristic polynomial of a square matrix A
det(xIn - A), where A is an n x n matrix
The function y = cot x
Using the science of statistics to make inferences about the parameters in a population from a sample.
See Polynomial function in x
Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0
Measure of an angle
The number of degrees or radians in an angle
A boxplot with the outliers removed.
A polynomial with exactly one term.
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.
Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.
Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
An equation found by regression and which can be used to predict unknown values.
Set of all possible outcomes of an experiment.
Standard representation of a vector
A representative arrow with its initial point at the origin
Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.
The scale of the tick marks on the y-axis in a viewing window.
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