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) = dy b. If the surface area of the rectangular box is 160 square feet, find dx dy da when x = 4 feet and y - 8 feet.
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) = dy b. If the surface area of the rectangular box is 160 square feet, find dx dy da when x = 4 feet and y - 8 feet.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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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)
dy
b. If the surface area of the rectangular box is 160 square feet, find
dx
dy
dx
=
||
when x =
4 feet and y = 8 feet.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58ebad7-4c7d-4972-95d3-7aed2bc3d9e0%2F2ac2c30f-479e-497d-b5d1-52a9a075e984%2Ffywst3i_processed.png&w=3840&q=75)
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)
dy
b. If the surface area of the rectangular box is 160 square feet, find
dx
dy
dx
=
||
when x =
4 feet and y = 8 feet.
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