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Solutions for Chapter 8.5: CRITICAL POINTS AND OPTIMIZATION

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Solutions for Chapter 8.5: CRITICAL POINTS AND OPTIMIZATION

Solutions for Chapter 8.5
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Textbook: Applied Calculus
Edition: 5
Author: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more
ISBN: 9781118174920

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 21 problems in chapter 8.5: CRITICAL POINTS AND OPTIMIZATION have been answered, more than 33065 students have viewed full step-by-step solutions from this chapter. Chapter 8.5: CRITICAL POINTS AND OPTIMIZATION includes 21 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Definite integral

    The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

  • Directed line segment

    See Arrow.

  • Exponent

    See nth power of a.

  • Identity

    An equation that is always true throughout its domain.

  • Inferential statistics

    Using the science of statistics to make inferences about the parameters in a population from a sample.

  • Initial side of an angle

    See Angle.

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • Linear programming problem

    A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Principal nth root

    If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Sphere

    A set of points in Cartesian space equally distant from a fixed point called the center.

  • Standard deviation

    A measure of how a data set is spread

  • Standard form of a complex number

    a + bi, where a and b are real numbers

  • Sum of complex numbers

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

  • Sum of two vectors

    <u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

  • symmetric about the x-axis

    A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

  • Tangent

    The function y = tan x

  • Translation

    See Horizontal translation, Vertical translation.

  • Vertex of a cone

    See Right circular cone.

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