- Chapter 0.1: The Real Number Line and Order
- Chapter 0.2: Absolute Value and Distance on the Real Number Line
- Chapter 0.3: Exponents and Radicals
- Chapter 0.4: Factoring Polynomials
- Chapter 0.5: Fractions and Rationalization
- Chapter 1: Functions, Graphs, and Limits
- Chapter 1.1: The Cartesian Plane and the Distance Formula
- Chapter 1.2: Graphs of Equations
- Chapter 1.3: Lines in the Plane and Slope
- Chapter 1.4: Functions
- Chapter 1.5: Limits
- Chapter 1.6: Continuity
- Chapter 10: Series and Taylor Polynomials
- Chapter 10.1: Sequences
- Chapter 10.2: Series and Convergence
- Chapter 10.3: p-Series and the Ratio Test
- Chapter 10.4: Power Series and Taylors Theorem
- Chapter 10.5: Taylor Polynomials
- Chapter 10.6: Newtons Method
- Chapter 2: Differentiation
- Chapter 2.1: The Derivative and the Slope of a Graph
- Chapter 2.2: Some Rules for Differentiation
- Chapter 2.3: Rates of Change: Velocity and Marginals
- Chapter 2.4: The Product and Quotient Rules
- Chapter 2.5: The Chain Rule
- Chapter 2.6: Higher-Order Derivatives
- Chapter 2.7: Implicit Differentiation
- Chapter 2.8: Related Rates
- Chapter 3: Applications of the Derivative
- Chapter 3.1: Increasing and Decreasing Functions
- Chapter 3.2: Extrema and the First-Derivative Test
- Chapter 3.3: Concavity and the Second-Derivative Test
- Chapter 3.4: Optimization Problems
- Chapter 3.5: Business and Economics Applications
- Chapter 3.6: Asymptotes
- Chapter 3.7: Curve Sketching: A Summary
- Chapter 3.8: Differentials and Marginal Analysis
- Chapter 4: Exponential and Logarithmic Functions
- Chapter 4.1: Exponential Functions
- Chapter 4.2: Natural Exponential Functions
- Chapter 4.3: Derivatives of Exponential Functions
- Chapter 4.4: Logarithmic Functions
- Chapter 4.5: Derivatives of Logarithmic Functions
- Chapter 4.6: Exponential Growth and Decay
- Chapter 5: Integration and Its Applications
- Chapter 5.1: Antiderivatives and Indefinite Integrals
- Chapter 5.2: Integration by Substitution and the General Power Rule
- Chapter 5.3: Exponential and Logarithmic Integrals
- Chapter 5.4: Area and the Fundamental Theorem of Calculus
- Chapter 5.5: The Area of a Region Bounded by Two Graphs
- Chapter 5.6: The Definite Integral as the Limit of a Sum
- Chapter 6: Techniques of Integration
- Chapter 6.1: Integration by Parts and Present Value
- Chapter 6.2: Partial Fractions and Logistic Growth
- Chapter 6.3: Integration Tables
- Chapter 6.4: Numerical Integration
- Chapter 6.5: Improper Integrals
- Chapter 7: Functions of Several Variables
- Chapter 7.1: The ThreeDimensional Coordinate System
- Chapter 7.2: Surfaces in Space
- Chapter 7.3: Functions of Several Variables
- Chapter 7.4: Partial Derivatives
- Chapter 7.5: Extrema of Functions of Two Variables
- Chapter 7.6: Lagrange Multipliers
- Chapter 7.7: Least Squares Regression Analysis
- Chapter 7.8: Double Integrals and Area in the Plane
- Chapter 7.9: Applications of Double Integrals
- Chapter 8: Trigonometric Functions
- Chapter 8..1: Radian Measure of Angles
- Chapter 8.1: Radian Measure of Angles
- Chapter 8.2: The Trigonometric Functions
- Chapter 8.3: Graphs of Trigonometric Functions
- Chapter 8.4: Derivatives of Trigonometric Functions
- Chapter 8.5: Integrals of Trigonometric Functions
- Chapter 9: Probability and Calculus
- Chapter 9.1: Discrete Probability
- Chapter 9.2: Continuous Random Variables
- Chapter 9.3: Expected Value and Variance
Calculus: An Applied Approach 8th Edition - Solutions by Chapter
Full solutions for Calculus: An Applied Approach | 8th Edition
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.
The two separate curves that make up a hyperbola
The gathering and processing of numerical information
A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
Grapher or graphing utility
Graphing calculator or a computer with graphing software.
An equation that is always true throughout its domain.
See Linear regression line.
Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ
Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ
Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.
An arrangement of elements of a set, in which order is important.
The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.
The graph in three dimensions of a seconddegree equation in three variables.
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
Set of all possible outcomes of an experiment.
Vector of length 1.
The x-value of the left side of the viewing window,.
Zero of a function
A value in the domain of a function that makes the function value zero.