# Solutions for Chapter 5.5: The Substitution Rule

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 5.5: The Substitution Rule

Solutions for Chapter 5.5
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##### ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 5.5: The Substitution Rule includes 94 full step-by-step solutions. Since 94 problems in chapter 5.5: The Substitution Rule have been answered, more than 19892 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Bounded

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.

• Compound interest

Interest that becomes part of the investment

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Implied domain

The domain of a function’s algebraic expression.

• Index

• 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 center

A measure of the typical, middle, or average value for a data set

• Negative linear correlation

See Linear correlation.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Pole

See Polar coordinate system.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

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

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertical stretch or shrink

See Stretch, Shrink.

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