Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. find the amount of water that flows from the tank during the first 35 minutes.

The amount of water that flows from the tank during the first 35 minutes is 4550 liters.

Step-by-step explanation:

We know that the rate is given by and the problem asks for the net change (the amount of water) for the first 35 minutes.

We can use the Net change theorem:

The integral of a rate of change is the net change:

Applying the above theorem we get

The amount of water that flows from the tank during the first 35 minutes is 4550 liters.

step-by-step explanation: