- 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
Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.
The case in which two sides and a nonincluded angle can determine two different triangles
Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point
Conic section (or conic)
A curve obtained by intersecting a double-napped right circular cone with a plane
equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.
A visible representation of a numerical or algebraic model.
The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b
A pair of real numbers (x, y), p. 12.
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.
A function in which ƒ(x)is a polynomial in x, p. 158.
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.
A statistical measure that does not change much in response to outliers.
Stemplot (or stem-and-leaf plot)
An arrangement of a numerical data set into a specific tabular format.
Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,
Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i
Vertical line test
A test for determining whether a graph is a function.
The scale of the tick marks on the x-axis in a viewing window.