Tuesday, June 22, 2010

Find the ROC of the volume of a cube with respect to the length of its side s when s=3 & s=5?

The volume of a cube is V = s^3


Take the derivative with respect to time (t).


dV/dt = 3s^2 (ds/dt)





We are told s equals 3, but what is the rate of change of the side when s = 3?


Same for s = 5.
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