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2 years ago

5

The number of gallons of water in a storage tank at time t, in minutes, is modeled by w(t) = 25 − t2 for 0≤t≤5. At what rate, in

gallons per minute, is the amount of water in the tank changing at time t = 3 minutes?

1 answer:

Kisachek [45]2 years ago

8 0

Answer:

Rate of change of water will be -6 gallon/minute

Explanation:

We have given water in the tank as the function of time as

$w(t)=25-t^2$

We have to find the rate of change of water in the tank at t = 3 minute

For rate of change we have to differentiate both side

So $\frac{dw}{dt}=0-2t$

At t = 3 minute

$\frac{dw}{dt}=0-2\times 3=-6gallon/minute$

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