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A cube with edges of length x centimeters has volume v(x)=x^3 at the instant when x=2, what is the r...
5 months ago
Q:
A cube with edges of length x centimeters has volume v(x)=x^3 at the instant when x=2, what is the rate of change of x, in centimeters per minute, with respect to time?
Accepted Solution
A:
dv/dt=40Β Β dv/dt=3x^2dx/dt
40=3x^2dx/dt
40=12dx/dt
10/3=dx/dt