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Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = ar and its surface area is 4ar. 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 cm?/min dt II

Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = ar and its surface area is 4ar. 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 cm?/min dt II

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 2ST
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Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = nr'and its surface %3D area is 47r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming thatr = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA cm?/min dt
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is V = nr'and its surface %3D area is 47r. Determine the rate at which the surface area is changing with respect to time at t = 2 min, assuming thatr = 10 at t = 0. (Use symbolic notation and fractions where needed.) dA cm?/min dt
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