Asked by Jamie
Assume a cube with all sides equal to x. Let the change in x with respect to t; x(t) = 2t + 1. What is the formula for the rate of change of the volume of the cube?
Answers
Answered by
Steve
v = x^3, so
dv/dt = 3x^2 dx/dt
= 6(2t+1)^2
dv/dt = 3x^2 dx/dt
= 6(2t+1)^2
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