Solutions for Chapter 12: Vector-Valued Functions

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Full solutions for Calculus | 9th Edition

ISBN: 9780547167022

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Solutions for Chapter 12: Vector-Valued Functions

Solutions for Chapter 12
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

Calculus was written by and is associated to the ISBN: 9780547167022. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 12: Vector-Valued Functions have been answered, more than 36227 students have viewed full step-by-step solutions from this chapter. Chapter 12: Vector-Valued Functions includes 78 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9.

Key Calculus Terms and definitions covered in this textbook
  • Acute angle

    An angle whose measure is between 0° and 90°

  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Composition of functions

    (f ? g) (x) = f (g(x))

  • Conic section (or conic)

    A curve obtained by intersecting a double-napped right circular cone with a plane

  • Direction of an arrow

    The angle the arrow makes with the positive x-axis

  • Ellipse

    The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Higher-degree polynomial function

    A polynomial function whose degree is ? 3

  • Horizontal asymptote

    The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

  • Initial point

    See Arrow.

  • Initial side of an angle

    See Angle.

  • Line graph

    A graph of data in which consecutive data points are connected by line segments

  • Mean (of a set of data)

    The sum of all the data divided by the total number of items

  • Root of an equation

    A solution.

  • Row operations

    See Elementary row operations.

  • Sum of a finite arithmetic series

    Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

  • Terms of a sequence

    The range elements of a sequence.

  • Translation

    See Horizontal translation, Vertical translation.

  • Unit vector

    Vector of length 1.

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