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Solutions for Chapter 14.10: 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 14.10

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Chapter 14.10 includes 12 full step-by-step solutions. Since 12 problems in chapter 14.10 have been answered, more than 82430 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

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

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • 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

  • Difference of complex numbers

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

  • Inductive step

    See Mathematical induction.

  • Intercept

    Point where a curve crosses the x-, y-, or z-axis in a graph.

  • Opens upward or downward

    A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

  • Plane in Cartesian space

    The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

  • Present value of an annuity T

    he net amount of your money put into an annuity.

  • Product of functions

    (ƒg)(x) = ƒ(x)g(x)

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Quartic regression

    A procedure for fitting a quartic function to a set of data.

  • Random variable

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

  • 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.

  • Sum of an infinite series

    See Convergence of a series

  • Term of a polynomial (function)

    An expression of the form anxn in a polynomial (function).

  • 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>.

  • Whole numbers

    The numbers 0, 1, 2, 3, ... .

  • Zero of a function

    A value in the domain of a function that makes the function value zero.

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