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# Solutions for Chapter 8: Calculus: Early Transcendentals 1st Edition ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 8

Solutions for Chapter 8
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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Chapter 8 includes 61 full step-by-step solutions. Since 61 problems in chapter 8 have been answered, more than 93422 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Key Calculus Terms and definitions covered in this textbook
• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Closed interval

An interval that includes its endpoints

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• 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)

• Difference identity

An identity involving a trigonometric function of u - v

• Directed distance

See Polar coordinates.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Linear system

A system of linear equations

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Positive linear correlation

See Linear correlation.

• Series

A finite or infinite sum of terms.

• Standard form of a complex number

a + bi, where a and b are real numbers

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Stem

The initial digit or digits of a number in a stemplot.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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