SOLUTION: Please help, The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 − t) m3. Find the rate of change of the volume of water in t

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Question 968480: Please help,
The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 − t) m3. Find the rate of change of the volume of water in the tank from first principles (using the definition of the rate of change).

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
During the time, ,





So then,


and,

But becomes infinitesimally small so,


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