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# Solutions for Chapter 12.7: Calculus: Early Transcendentals 1st Edition

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 12.7

Solutions for Chapter 12.7
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##### ISBN: 9780321570567

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 12.7 includes 62 full step-by-step solutions. Since 62 problems in chapter 12.7 have been answered, more than 150581 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Composition of functions

(f ? g) (x) = f (g(x))

• Dependent variable

Variable representing the range value of a function (usually y)

• Division

a b = aa 1 b b, b Z 0

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Gaussian curve

See Normal curve.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• Normal curve

The graph of ƒ(x) = e-x2/2

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Rational zeros

Zeros of a function that are rational numbers.

• Real number line

A horizontal line that represents the set of real numbers.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Terms of a sequence

The range elements of a sequence.

• Zero matrix

A matrix consisting entirely of zeros.

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