Consider a closed rectangular box with a square base with side z and height y. a. Find an equation for the surface area of the rectangular box. S(x, y) = b. If the surface area of the rectangular box is 138 square feet, find dy when x = 3 feet and y = 10 dx feet. hp da

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 23T
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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) =
b. If the surface area of the rectangular box is 138 square feet, find
dy
when x = 3 feet and y = 10
dx
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) = b. If the surface area of the rectangular box is 138 square feet, find dy when x = 3 feet and y = 10 dx feet. dy dx
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