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# Solutions for Chapter 8.5: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 8.5

Solutions for Chapter 8.5
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##### ISBN: 9780321884077

Chapter 8.5 includes 60 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 60 problems in chapter 8.5 have been answered, more than 71702 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• 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

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Characteristic polynomial of a square matrix A

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

• Common logarithm

A logarithm with base 10.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Least-squares line

See Linear regression line.

• 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

• Normal curve

The graph of ƒ(x) = e-x2/2

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• 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.

• Sum identity

An identity involving a trigonometric function of u + v

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Third quartile

See Quartile.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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