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Solutions for Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Solutions for Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE

Solutions for Chapter 3.9
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Textbook: Calculus: Single and Multivariable
Edition: 6
Author: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more
ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions. Since 50 problems in chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE have been answered, more than 42389 students have viewed full step-by-step solutions from this chapter. Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE includes 50 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
  • artesian coordinate system

    An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

  • Combinations of n objects taken r at a time

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

  • Compounded monthly

    See Compounded k times per year.

  • Damping factor

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

  • Data

    Facts collected for statistical purposes (singular form is datum)

  • Distance (in Cartesian space)

    The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

  • DMS measure

    The measure of an angle in degrees, minutes, and seconds

  • Half-angle identity

    Identity involving a trigonometric function of u/2.

  • Identity function

    The function ƒ(x) = x.

  • Imaginary axis

    See Complex plane.

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Midpoint (in a coordinate plane)

    For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Ordered set

    A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

  • Probability simulation

    A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

  • Quotient of complex numbers

    a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Standard unit vectors

    In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

  • Subtraction

    a - b = a + (-b)

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