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Solutions for Chapter 7.3: Linear Approximation and Differentials

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Solutions for Chapter 7.3: Linear Approximation and Differentials

Solutions for Chapter 7.3
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Summary of Chapter 7.3: Linear Approximation and Differentials

The theme of this section is optimization, a topic arising in many disciplines that rely on mathematics.

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.3: Linear Approximation and Differentials includes 79 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 79 problems in chapter 7.3: Linear Approximation and Differentials have been answered, more than 410986 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Key Calculus Terms and definitions covered in this textbook
  • Additive inverse of a complex number

    The opposite of a + bi, or -a - bi

  • Angle

    Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

  • Boundary

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

  • Composition of functions

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

  • Convergence of a series

    A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • Expanded form

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

  • Focus, foci

    See Ellipse, Hyperbola, Parabola.

  • Hypotenuse

    Side opposite the right angle in a right triangle.

  • Inequality

    A statement that compares two quantities using an inequality symbol

  • Instantaneous rate of change

    See Derivative at x = a.

  • Limit

    limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

  • Mean (of a set of data)

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

  • Nappe

    See Right circular cone.

  • Randomization

    The principle of experimental design that makes it possible to use the laws of probability when making inferences.

  • Secant line of ƒ

    A line joining two points of the graph of ƒ.

  • Weighted mean

    A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

  • xz-plane

    The points x, 0, z in Cartesian space.