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14) if the surface area S of rectangular box with a square base is increasing at the rate of 288 square ft/min and Length L is increasing at the rate of 3ft /min. Find the rate at which the height H is changing at the instant in time when the length L is 6 ft and the height H is 8ft. S=2L²+4LH

14) if the surface area S of rectangular box with a square base is increasing at the rate of 288 square ft/min and Length L is increasing at the rate of 3ft /min. Find the rate at which the height H is changing at the instant in time when the length L is 6 ft and the height H is 8ft. S=2L²+4LH

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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14) if the surface area S of rectangular box with a square base is increasing at the rate of 288 square ft/min and Length L is increasing at the rate of 3ft /min. Find the rate at which the height H is changing at the instant in time when the length L is 6 ft and the height H is 8ft. S=2L²+4LH
Transcribed Image Text:14) if the surface area S of rectangular box with a square base is increasing at the rate of 288 square ft/min and Length L is increasing at the rate of 3ft /min. Find the rate at which the height H is changing at the instant in time when the length L is 6 ft and the height H is 8ft. S=2L²+4LH
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