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December 19, 2014

December 19, 2014

Posted by **sam** on Monday, May 19, 2008 at 3:00am.

b) a recovery device arrives on the scene and begins removing oil. The rate at which oil is removed is R(t)=400 times square root of t cubics per min, where t is the time in min since the device began working.oil continues to leak at the rate of 2000 cubic cm per min. Find t when oil slick reaches its max volume.

c) By the time the recovery device began removing oil 60000 cubic cm of oil had already leaked. write but not evauate and expression involving an integral that gives the volume of oil at the time found in part (b)

help please start them

- calc -
**Damon**, Monday, May 19, 2008 at 1:24pmV = pi r^2 h

dV/dt = 2000 - 400 t^.5

b) when is dV/dt = 0?

400 t^.5 = 2000

sqrt t = 5

t = 25 min

c) V at t=0 = 60,000

dV/dt = 2000 -400 t^.5

V = 60,000 + integral from t = 0 to t = 25 of (2000 - 400 t^.5) dt

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