- Chapter 1: REVIEW PROBLEMS FOR CHAPTER ONE
- Chapter 1.1: WHAT IS A FUNCTION?
- Chapter 1.10: PERIODIC FUNCTIONS
- Chapter 1.2: LINEAR FUNCTIONS
- Chapter 1.3: AVERAGE RATE OF CHANGE AND RELATIVE CHANGE
- Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS
- Chapter 1.5: EXPONENTIAL FUNCTIONS
- Chapter 1.6: THE NATURAL LOGARITHM
- Chapter 1.7: EXPONENTIAL GROWTH AND DECAY
- Chapter 1.8: NEW FUNCTIONS FROM OLD
- Chapter 1.9: PROPORTIONALITY AND POWER FUNCTIONS
- Chapter 10: REVIEW PROBLEMS FOR CHAPTER TEN
- Chapter 10.1: GEOMETRIC SERIES
- Chapter 10.2: APPLICATIONS TO BUSINESS AND ECONOMICS
- Chapter 10.3: APPLICATIONS TO THE NATURAL SCIENCES
- Chapter 2: REVIEW PROBLEMS FOR CHAPTER TWO
- Chapter 2.1: INSTANTANEOUS RATE OF CHANGE
- Chapter 2.2: THE DERIVATIVE FUNCTION
- Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE
- Chapter 2.4: THE SECOND DERIVATIVE
- Chapter 2.5: MARGINAL COST AND REVENUE
- Chapter 3: REVIEW PROBLEMS FOR CHAPTER THREE
- Chapter 3.1: DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
- Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- Chapter 3.3: THE CHAIN RULE
- Chapter 3.4: THE PRODUCT AND QUOTIENT RULES
- Chapter 3.5: DERIVATIVES OF PERIODIC FUNCTIONS
- Chapter 4: REVIEW PROBLEMS FOR CHAPTER FOUR
- Chapter 4.1: LOCAL MAXIMA AND MINIMA
- Chapter 4.2: INFLECTION POINTS
- Chapter 4.3: GLOBAL MAXIMA AND MINIMA
- Chapter 4.4: PROFIT, COST, AND REVENUE
- Chapter 4.5: AVERAGE COST
- Chapter 4.6: ELASTICITY OF DEMAND
- Chapter 4.7: LOGISTIC GROWTH
- Chapter 4.8: THE SURGE FUNCTION AND DRUG CONCENTRATION
- Chapter 5: REVIEW PROBLEMS FOR CHAPTER FIVE
- Chapter 5.1: DISTANCE AND ACCUMULATED CHANGE
- Chapter 5.2: THE DEFINITE INTEGRAL
- Chapter 5.3: THE DEFINITE INTEGRAL AS AREA
- Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL
- Chapter 5.5: TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS
- Chapter 5.6: AVERAGE VALUE
- Chapter 6: REVIEW PROBLEMS FOR CHAPTER SIX
- Chapter 6.1: ANALYZING ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY
- Chapter 6.2: ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL
- Chapter 6.3: USING THE FUNDAMENTAL THEOREM TO FIND DEFINITE INTEGRALS
- Chapter 6.4: APPLICATION: CONSUMER AND PRODUCER SURPLUS
- Chapter 6.5: APPLICATION: PRESENT AND FUTURE VALUE
- Chapter 6.6: INTEGRATION BY SUBSTITUTION
- Chapter 6.7: INTEGRATION BY PARTS
- Chapter 7: REVIEW PROBLEMS FOR CHAPTER SEVEN
- Chapter 7.1: DENSITY FUNCTIONS
- Chapter 7.2: CUMULATIVE DISTRIBUTION FUNCTIONS AND PROBABILITY
- Chapter 7.3: THE MEDIAN AND THE MEAN
- Chapter 8: REVIEW PROBLEMS FOR CHAPTER EIGHT
- Chapter 8.1: UNDERSTANDING FUNCTIONS OF TWO VARIABLES
- Chapter 8.2: CONTOUR DIAGRAMS
- Chapter 8.3: PARTIAL DERIVATIVES
- Chapter 8.4: COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY
- Chapter 8.5: CRITICAL POINTS AND OPTIMIZATION
- Chapter 8.6: CONSTRAINED OPTIMIZATION
- Chapter 9: REVIEW PROBLEMS FOR CHAPTER NINE
- Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION
- Chapter 9.2: SOLUTIONS OF DIFFERENTIAL EQUATIONS
- Chapter 9.3: SLOPE FIELDS
- Chapter 9.4: EXPONENTIAL GROWTH AND DECAY
- Chapter 9.5: APPLICATIONS AND MODELING
- Chapter 9.6: MODELING THE INTERACTION OF TWO POPULATIONS
- Chapter 9.7: MODELING THE SPREAD OF A DISEASE
- Chapter Appendix A: Problems for Appendix A
- Chapter Appendix B: Problems for Appendix B
Applied Calculus 5th Edition - Solutions by Chapter
Full solutions for Applied Calculus | 5th Edition
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)
See Inverse sine function.
Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space
The graph of the parametric equations
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant
Frequency table (in statistics)
A table showing frequencies.
Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.
The line segment through the foci of an ellipse with endpoints on the ellipse
See Principal nth root
A set of parametric equations for a curve.
See Polar coordinate system.
Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.
See Division algorithm for polynomials.
An expression that can be written as a ratio of two polynomials.
See Division algorithm for polynomials.
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
See Horizontal translation, Vertical translation.
A visualization of the Multiplication Principle of Probability.
The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.