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#1 2013-08-23 06:34:39

AlbertMThomas
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Rate of change problem

The volume of an empty container is 15 m. If water is poured into the container at a rate of 2t + 2 m per minute where t is the time. What is the time needed to fill the container?

PLEASE PROVIDE STEPS!!

#2 2013-08-23 06:41:40

bob bundy
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Re: Rate of change problem

hi AlbertMThomas

If water is poured into the container at a rate of 2t + 2 m per minute where t is the time.

Think about what that rate represents:

It's in cubic metres per minute so that's



At the start t = 0 and V = 0.  At the end V = 15 at (say) t = T

So integrate to get V in terms of t; put V = 15 (the constant of integration will come from t = V = 0) and solve for T

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#3 2013-08-23 06:54:18

AlbertMThomas
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Re: Rate of change problem

Thanks!!

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