a.
Write a formula for the volume of the box.
a.
Answer to Problem 19E
The volume of the box is
Explanation of Solution
Calculation:
The height of the box is
Volume of box is
Thus, the volume of the box is
b.
Find the domain of
b.
Answer to Problem 19E
Explanation of Solution
Calculation:
volume from part (a)
Domain is
c.
Find the maximum volume and value of
c.
Answer to Problem 19E
Explanation of Solution
Calculation:
Examine the graph; the maximum occurs at about
Thus, the value is
d.
Support the result in part (c) graphically.
d.
Answer to Problem 19E
Explanation of Solution
Calculation:
Multiply it out to avoid product rule before find
Thus, the values are
e.
Find value of
e.
Answer to Problem 19E
Explanation of Solution
Calculation:
Multiply it out to avoid product rule before find
f.
Write a paragraph describe the issues that arise in part (b)
f.
Answer to Problem 19E
Explanation of Solution
Calculation:
Must be careful to restrict the size of
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
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Precalculus (10th Edition)
Calculus: Early Transcendentals (3rd Edition)
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