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# Solutions for Chapter 14.8: Change of Variables: Jacobians

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 14.8: Change of Variables: Jacobians

Solutions for Chapter 14.8
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##### ISBN: 9780618606245

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 14.8: Change of Variables: Jacobians includes 31 full step-by-step solutions. Since 31 problems in chapter 14.8: Change of Variables: Jacobians have been answered, more than 38744 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Base

See Exponential function, Logarithmic function, nth power of a.

• Cubic

A degree 3 polynomial function

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Measure of center

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

• Mode of a data set

The category or number that occurs most frequently in the set.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Rational zeros

Zeros of a function that are rational numbers.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Square matrix

A matrix whose number of rows equals the number of columns.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Subtraction

a - b = a + (-b)

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

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