Assume the volume V of a cube is increasing at a constant rate of 3cm^3 per second. Let t0 be the instant (t>0) when the rate of change of the volume (cm^3/sec) is numerically equal to the rate of change of the surface area (cm^2/sec) for the cube. Assume V=0 when t=0.

a. Find the rate of change of the length of a side when t=t0

b. Find the rate of change of the surface area when t=t0

c. Find the value of t0.

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