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Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar' and its surface area is 4². Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA dt 11 cm³/min

Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar' and its surface area is 4². Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA dt 11 cm³/min

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar' and its surface area is 4r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA dt 11 cm²/min
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is V = ar' and its surface area is 4r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming that r = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA dt 11 cm²/min
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