26. Volume A small shelter for delicate plants is to be con- structed of thin plastic material. It will have square ends and a rectangular top and back, with an open bottom and front, as shown in the figure. The total area of the four plastic sides is to be 1200 in?. (a) Express the volume V of the shelter as a function of the depth x. (b) Draw a graph of V. (c) What dimensions will maximize the volume of the shelter?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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Volume A small shelter for delicate plants is to be constructed of thin plastic material. It will have square ends and a
rectangular top and back, with an open bottom and front, as
shown in the figure. The total area of the four plastic sides is to
be 1200 in2

26. Volume A small shelter for delicate plants is to be con-
structed of thin plastic material. It will have square ends and a
rectangular top and back, with an open bottom and front, as
shown in the figure. The total area of the four plastic sides is to
be 1200 in?.
(a) Express the volume V of the shelter as a function of the
depth x.
(b) Draw a graph of V.
(c) What dimensions will maximize the volume of the
shelter?
Transcribed Image Text:26. Volume A small shelter for delicate plants is to be con- structed of thin plastic material. It will have square ends and a rectangular top and back, with an open bottom and front, as shown in the figure. The total area of the four plastic sides is to be 1200 in?. (a) Express the volume V of the shelter as a function of the depth x. (b) Draw a graph of V. (c) What dimensions will maximize the volume of the shelter?
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