The radius r of a sphere is increasing at a rate of 7 inches per minute.(a) Find the rate of change of the volume (in in³/min) when r = 12 inches and when r = 37 inches.in³/minr = 12 inr = 37 in(b) Explain why the rate of change of the volume of the sphere is not constant even thoughdrO If is constant,dtdrO If is constant,dtdrIf is constant,dtdrdtIf.is constant,dvdrdvdrdvdtin³/mindvdtis equal to t².is proportional to t².is proportional to r².is equal to 2.drdtis constant. Assume that x and y are both differentiable functions of t. Find the required values of dyanddtdy(a) Find given x4 and(b)dydty = √x||dxdtTdtdxdtdyFind given x = 64 and = 2.dtdxdt16.dxdt

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The radius r of a sphere is increasing at a rate of 7 inches per minute. (a) Find the rate of change of the volume (in in³/min) when r = 12 inches and when r = 37 inches. in³/min r = 12 in r = 37 in O If (b) Explain why the rate of change of the volume of the sphere is not constant even though O IF O If O If. dr dt dr dt dr dt dr dt is constant, is constant, is constant, is constant, ㅎㅎ ㅎ ㅎ ㅎㅎ dv dv dv in³/min dv is equal to t². is proportional to t². is proportional to r². K is equal to 2. dr dt is constant.