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If a Cylindrical Tank Holds 10000 Gallons of Water, Which tt

Question 15

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If a cylindrical tank holds 10000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after tt minutes as
V(t)=10000(1160t)2,0t60V ( t ) = 10000 \left( 1 - \frac { 1 } { 60 } t \right) ^ { 2 } , 0 \leq t \leq 60
Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of VV with respect to tt ) as a function of tt .

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