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# Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables

Solutions for Chapter 13.9
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##### ISBN: 9780618606245

Chapter 13.9: Applications of Extrema of Functions of Two Variables includes 48 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 13.9: Applications of Extrema of Functions of Two Variables have been answered, more than 44925 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Key Calculus Terms and definitions covered in this textbook
• Average velocity

The change in position divided by the change in time.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Descriptive statistics

The gathering and processing of numerical information

• Equation

A statement of equality between two expressions.

• Fibonacci sequence

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

• Imaginary unit

The complex number.

• Inverse function

The inverse relation of a one-to-one function.

• Local extremum

A local maximum or a local minimum

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Scalar

A real number.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Sine

The function y = sin x.

• Slant asymptote

An end behavior asymptote that is a slant line

• Slope

Ratio change in y/change in x

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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