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?

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

Explanation:

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

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

At t = 3 minute

the device is called “ rocket engine”

graph slopes whilst gas cools, then it is flat whilst conensation to liquid happens, the coolong liquid then graphs as a slope when it solidifies graph is flat

latent heat