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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 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 6548 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
  • 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.

  • Back-to-back stemplot

    A stemplot with leaves on either side used to compare two distributions.

  • Boundary

    The set of points on the “edge” of a region

  • Combinations of n objects taken r at a time

    There are nCr = n! r!1n - r2! such combinations,

  • 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)

  • Continuous at x = a

    lim x:a x a ƒ(x) = ƒ(a)

  • Expanded form

    The right side of u(v + w) = uv + uw.

  • Focal width of a parabola

    The length of the chord through the focus and perpendicular to the axis.

  • Inverse function

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

  • Magnitude of a real number

    See Absolute value of a real number

  • Measure of an angle

    The number of degrees or radians in an angle

  • NINT (ƒ(x), x, a, b)

    A calculator approximation to ?ab ƒ(x)dx

  • Parallel lines

    Two lines that are both vertical or have equal slopes.

  • Piecewise-defined function

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

  • 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.

  • Solve an equation or inequality

    To find all solutions of the equation or inequality

  • Standard form of a polar equation of a conic

    r = ke 1 e cos ? or r = ke 1 e sin ? ,

  • Statistic

    A number that measures a quantitative variable for a sample from a population.

  • x-intercept

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

  • z-coordinate

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

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