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Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 12.2: Differentiation and Integration of Vector-Valued Functions

Solutions for Chapter 12.2
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

Chapter 12.2: Differentiation and Integration of Vector-Valued Functions includes 87 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 87 problems in chapter 12.2: Differentiation and Integration of Vector-Valued Functions have been answered, more than 78159 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981.

Key Calculus Terms and definitions covered in this textbook
  • 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)

  • Domain of a function

    The set of all input values for a function

  • Even function

    A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

  • Factoring (a polynomial)

    Writing a polynomial as a product of two or more polynomial factors.

  • Heron’s formula

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

  • Initial side of an angle

    See Angle.

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Mean (of a set of data)

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

  • Numerical derivative of ƒ at a

    NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

  • Parameter

    See Parametric equations.

  • Point-slope form (of a line)

    y - y1 = m1x - x 12.

  • Polar coordinate system

    A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

  • Polar distance formula

    The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Principle of mathematical induction

    A principle related to mathematical induction.

  • Real zeros

    Zeros of a function that are real numbers.

  • Sum of complex numbers

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

  • Terminal point

    See Arrow.

  • Window dimensions

    The restrictions on x and y that specify a viewing window. See Viewing window.

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