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# Solutions for Chapter 5.2: Thomas' Calculus: Early Transcendentals 13th Edition

## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 5.2

Solutions for Chapter 5.2
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##### ISBN: 9780321884077

Chapter 5.2 includes 46 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 46 problems in chapter 5.2 have been answered, more than 79483 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Constant of variation

See Power function.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Horizontal translation

A shift of a graph to the left or right.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Law of sines

sin A a = sin B b = sin C c

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Re-expression of data

A transformation of a data set.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Remainder polynomial

See Division algorithm for polynomials.

• Second quartile

See Quartile.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Unit ratio

See Conversion factor.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• xy-plane

The points x, y, 0 in Cartesian space.

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