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a. The volume of a sphere is increasing at unit speed (that is, dV /dt= 1). At what rate is the surface area of the

a. The volume of a sphere is increasing at unit speed (that is, dV /dt= 1). At what rate is the surface area of the sphere increasing when the radius is r= 10?

b. For a gas it can be shown that the volume of the gas V is inversely proportional to the pressure P at which the gas is held. What is the rate of change of the volume of the gas proportional to?

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