5. DETAILS PREVIOUS ANSWERS LARCALC11 2.6.011. The radius r of a circle is increasing at a rate of 7" centimeters per minute. Find the rate of change of the area when r = 29 centimeters. 1276 cmzfmin X 6. DETAILS PREVIOUS ANSWERS LARCALC11 2.6.013. The radius r of a sphere is increasing at a rate 0F4 inches per minute. (a) Find the late of change of the volume when r = 11 inches. 5084.57 in.3,'min X (b) Find the rate of change of the volume when r = 34 inches. 58130.29 in.3[min X 2. DETAILS PREVIOUS ANSWERS LARCALC11 2.6.005. Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 8 (a) Find dy/dt, given x = 6 and dx/dt = 10. dy/dt = -20/3 X (b) Find dx/dt, given x = 1 and dy/dt = -7. dx/ dt = 7/8