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Solutions for Chapter 4.7: Optimization Problems

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 4.7: Optimization Problems

Solutions for Chapter 4.7
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 82 problems in chapter 4.7: Optimization Problems have been answered, more than 107079 students have viewed full step-by-step solutions from this chapter. Chapter 4.7: Optimization Problems includes 82 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Arccosecant function

    See Inverse cosecant function.

  • Cofunction identity

    An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

  • Cone

    See Right circular cone.

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Domain of a function

    The set of all input values for a function

  • Heron’s formula

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

  • Histogram

    A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

  • Inverse variation

    See Power function.

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • One-to-one function

    A function in which each element of the range corresponds to exactly one element in the domain

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Pseudo-random numbers

    Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

  • Right triangle

    A triangle with a 90° angle.

  • Row operations

    See Elementary row operations.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Symmetric matrix

    A matrix A = [aij] with the property aij = aji for all i and j

  • Triangular form

    A special form for a system of linear equations that facilitates finding the solution.

  • Vertical line test

    A test for determining whether a graph is a function.

  • Whole numbers

    The numbers 0, 1, 2, 3, ... .