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Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables

Solutions for Chapter 13.9
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ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by Patricia and is associated to the ISBN: 9780618502981. Since 48 problems in chapter 13.9: Applications of Extrema of Functions of Two Variables have been answered, more than 32986 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.9: Applications of Extrema of Functions of Two Variables includes 48 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Dependent event

An event whose probability depends on another event already occurring

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Distributive property

a(b + c) = ab + ac and related properties

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Imaginary axis

See Complex plane.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• PH

The measure of acidity

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Reference angle

See Reference triangle

• Relation

A set of ordered pairs of real numbers.

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