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A spherical snowball is melting in the sun. It is noted that its surface area decreases at a rate of 5 cm / 8 at the moment when Its diameter is goal here is to determine the rate at which the diameter varies at that same moment. IT cm. The To solve this problem, let a be the diameter of the snowball in cm, A its surface area in cm , and & the time in seconds (s). (a) Express A as a function of . (The surface area is a formula you can find in your textbook.) A = Pi*((1/2*x)^2) i cm2 (b) What is the value of dA when * = - ? Give the exact value. dA = 7/2 icm (c) Using our previous results, give the (exact) value of when * = cm. Beware of signs, remember that the surface area of the snowball is decreasing with time! cmis. O