9. Make an open box from a square cardboard with sides measuring 36 cm by cutting equal squares out of the corners turning the sides. Find the dimensions of the box that will give the maximum volume.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the following optimization problems

9. Make an open box from a square cardboard with sides measuring
36 cm by cutting equal squares out of the corners turning the
sides. Find the dimensions of the box that will give the maximum
volume.
10. From a piece of cardboard that is 24 cm by 48 cm, cut equal
squares out of the corners. Fold up the sides to form an open
box. Determine the height of the box that will give the maximum
volume.
11. A rectangular chicken pen is bounded on one side by the wall of
the house and the other three sides by 160 meters of fences. Find
the dimensions of the chicken pen if the area is a maximum.
Transcribed Image Text:9. Make an open box from a square cardboard with sides measuring 36 cm by cutting equal squares out of the corners turning the sides. Find the dimensions of the box that will give the maximum volume. 10. From a piece of cardboard that is 24 cm by 48 cm, cut equal squares out of the corners. Fold up the sides to form an open box. Determine the height of the box that will give the maximum volume. 11. A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides by 160 meters of fences. Find the dimensions of the chicken pen if the area is a maximum.
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