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# Solutions for Chapter 14.8: Change of Variables: Jacobians ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 14.8: Change of Variables: Jacobians

Solutions for Chapter 14.8
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##### ISBN: 9781285774770

This expansive textbook survival guide covers the following chapters and their solutions. Since 41 problems in chapter 14.8: Change of Variables: Jacobians have been answered, more than 47806 students have viewed full step-by-step solutions from this chapter. Chapter 14.8: Change of Variables: Jacobians includes 41 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Key Calculus Terms and definitions covered in this textbook
• Arcsine function

See Inverse sine function.

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Combination

An arrangement of elements of a set, in which order is not important

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Common ratio

See Geometric sequence.

• Compound interest

Interest that becomes part of the investment

• Descriptive statistics

The gathering and processing of numerical information

• Dihedral angle

An angle formed by two intersecting planes,

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Exponential form

An equation written with exponents instead of logarithms.

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Natural logarithm

A logarithm with base e.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Second

Angle measure equal to 1/60 of a minute.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

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