Solutions for Chapter 14.6: 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 14.6

Solutions for Chapter 14.6
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Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since 58 problems in chapter 14.6 have been answered, more than 35176 students have viewed full step-by-step solutions from this chapter. Chapter 14.6 includes 58 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Arc length formula

    The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

  • Complex fraction

    See Compound fraction.

  • Dihedral angle

    An angle formed by two intersecting planes,

  • Directrix of a parabola, ellipse, or hyperbola

    A line used to determine the conic

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Infinite discontinuity at x = a

    limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

  • Intermediate Value Theorem

    If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

  • Inverse function

    The inverse relation of a one-to-one function.

  • 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

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Radian measure

    The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

  • Random variable

    A function that assigns real-number values to the outcomes in a sample space.

  • Remainder polynomial

    See Division algorithm for polynomials.

  • Solve by elimination or substitution

    Methods for solving systems of linear equations.

  • 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>.

  • Vertical translation

    A shift of a graph up or down.

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