A Spherical balloon is being inated. Find a general formula for the instantaneous rate of change of the volume V with respect to the radius r, given that _47r1'3 V 3 . Answer: f, Find the rate of change of V with respect to r at the instant when the radius is 7' = 5. Answer: if. (1 point) A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 20 cm/s. Find the rate at which the area within the circle is increasing after: (a) 1 s (b)3s (c)55 (What can can you conclude?) (a) i, sq cm/sec (b) i, sq cm] sec (c) f, sq cm/sec The area of a square With side 3 is A(s) = 52. What is the rate of change of the area of a square with respect to its side length when 5 = 7