b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y = 2 feet.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CT: Chapter Test
Problem 20CT
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Question
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(x, y) = 2x² + 4xy
dy
b. If the surface area of the rectangular box is 24 square feet, find
dx
dy
dx
CONS
312
PT
X
when x = 2 feet and y = 2 feet.
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(x, y) = 2x² + 4xy dy b. If the surface area of the rectangular box is 24 square feet, find dx dy dx CONS 312 PT X when x = 2 feet and y = 2 feet.
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