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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 157449 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
  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • Cosecant

    The function y = csc x

  • Damping factor

    The factor Ae-a in an equation such as y = Ae-at cos bt

  • Derivative of ƒ

    The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

  • Equal matrices

    Matrices that have the same order and equal corresponding elements.

  • Explanatory variable

    A variable that affects a response variable.

  • Focal length of a parabola

    The directed distance from the vertex to the focus.

  • Heron’s formula

    The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

  • Inverse composition rule

    The composition of a one-toone function with its inverse results in the identity function.

  • Inverse cotangent function

    The function y = cot-1 x

  • Measure of an angle

    The number of degrees or radians in an angle

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Polar form of a complex number

    See Trigonometric form of a complex number.

  • Radicand

    See Radical.

  • Radius

    The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

  • Rose curve

    A graph of a polar equation or r = a cos nu.

  • Slope

    Ratio change in y/change in x

  • y-coordinate

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