- 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
Average rate of change of ƒ over [a, b]
The number ƒ(b) - ƒ(a) b - a, provided a ? b.
The change in position divided by the change in time.
A rectangular graphical display of categorical data.
See Compound fraction.
Constant of variation
See Power function.
A measure of the strength of the linear relationship between two variables, pp. 146, 162.
equation of a hyperbola
(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1
Identity involving a trigonometric function of u/2.
Jump discontinuity at x a
limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal
Angle measure equal to 1/60 of a degree.
See Right circular cone.
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.
The principle of experimental design that makes it possible to use the laws of probability when making inferences.
Real number line
A horizontal line that represents the set of real numbers.
An equation found by regression and which can be used to predict unknown values.
Solve an equation or inequality
To find all solutions of the equation or inequality
Sum of an infinite series
See Convergence of a series
p = ƒ(x), where x represents production and p represents price
Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.