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Solutions for Chapter 9.5: 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 9.5

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Since 14 problems in chapter 9.5 have been answered, more than 82544 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 9.5 includes 14 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Cycloid

    The graph of the parametric equations

  • Definite integral

    The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

  • Direction vector for a line

    A vector in the direction of a line in three-dimensional space

  • Double-blind experiment

    A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

  • Elementary row operations

    The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

  • Graph of a polar equation

    The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

  • Inverse cosine function

    The function y = cos-1 x

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Polar axis

    See Polar coordinate system.

  • Probability of an event in a finite sample space of equally likely outcomes

    The number of outcomes in the event divided by the number of outcomes in the sample space.

  • Product of a scalar and a vector

    The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

  • Product of functions

    (ƒg)(x) = ƒ(x)g(x)

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Series

    A finite or infinite sum of terms.

  • Terms of a sequence

    The range elements of a sequence.

  • 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.

  • Vertical translation

    A shift of a graph up or down.

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

  • z-coordinate

    The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

  • Zero factor property

    If ab = 0 , then either a = 0 or b = 0.

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