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Solutions for Chapter 13: Vector-Valued Functions and Motion in Space

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 13: Vector-Valued Functions and Motion in Space

Solutions for Chapter 13
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

Thomas' Calculus was written by Sieva Kozinsky and is associated to the ISBN: 9780321587992. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13: Vector-Valued Functions and Motion in Space includes 32 full step-by-step solutions. Since 32 problems in chapter 13: Vector-Valued Functions and Motion in Space have been answered, more than 3170 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12.

Key Calculus Terms and definitions covered in this textbook
  • Cardioid

    A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

  • Cosine

    The function y = cos x

  • 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)

  • Dihedral angle

    An angle formed by two intersecting planes,

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • First octant

    The points (x, y, z) in space with x > 0 y > 0, and z > 0.

  • Half-angle identity

    Identity involving a trigonometric function of u/2.

  • Hypotenuse

    Side opposite the right angle in a right triangle.

  • Integrable over [a, b] Lba

    ƒ1x2 dx exists.

  • kth term of a sequence

    The kth expression in the sequence

  • Logarithmic re-expression of data

    Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

  • Mode of a data set

    The category or number that occurs most frequently in the set.

  • n-set

    A set of n objects.

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Principal nth root

    If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Sum of complex numbers

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

  • x-coordinate

    The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

  • x-intercept

    A point that lies on both the graph and the x-axis,.

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