×
×

# Solutions for Chapter 9: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 9

Solutions for Chapter 9
4 5 0 259 Reviews
29
4
##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. This expansive textbook survival guide covers the following chapters and their solutions. Since 56 problems in chapter 9 have been answered, more than 55359 students have viewed full step-by-step solutions from this chapter. Chapter 9 includes 56 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Components of a vector

See Component form of a vector.

• Difference of complex numbers

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

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• First quartile

See Quartile.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Outliers

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

• Principle of mathematical induction

A principle related to mathematical induction.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Singular matrix

A square matrix with zero determinant

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

×