Consider a closed rectangular box with a square base with side x and height y. a. Find an equation for the surface area of the rectangular box. S(r, y) = dy b. If the surface area of the rectangular box is 96 square feet, find dx when x = 4 feet and y = 4 feet. dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider a closed rectangular box with a square base with side x and
height y.
a. Find an equation for the surface area of the rectangular box.
S(2, y) =
dy
b. If the surface area of the rectangular box is 96 square feet, find
dx
when x
4 feet and y = 4 feet.
dy
dx
Transcribed Image Text:Consider a closed rectangular box with a square base with side x and height y. a. Find an equation for the surface area of the rectangular box. S(2, y) = dy b. If the surface area of the rectangular box is 96 square feet, find dx when x 4 feet and y = 4 feet. dy dx
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