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

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

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

ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Solutions for Chapter 9

Solutions for Chapter 9
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Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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.

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