I have the answer can someone please see if I did this right....
Suppose we have partially filled water tank and water begins entering the tank. The amount of water, in gallons in the tank is given by w(t), where t is the number of minutes after water began entering the tank. The graph above is of
w'(t), the rate at which water is entering the tank in gallons/minute. Find and interpret

Question

I have the answer can someone please see if I did this right....
Suppose we have partially filled water tank and water begins entering the tank. The amount of water, in gallons in the tank is given by w(t), where t is the number of minutes after water began entering the tank. The graph above is of
w'(t), the rate at which water is entering the tank in gallons/minute. Find and interpret

anonymous · Answer

$$\int\limits_{0}^{20}w'(t)dt$$

anonymous · Answer

that is what is interpreting

anonymous · Answer

attachment

mertsj · Answer

For the first 6 minutes the hole in the dyke was getting bigger and so the water was coming in at an increasing rate.  Then for the next 8 minutes, the hole stayed the same size and so the water kept entering at a constant rate.  Then for the last 6 minutes the hole was getting bigger again and so the water was entering at a still faster rate.

anonymous · Answer

right but the equation I have to find it.Is that not $$\int\limits_{0}^{20}60d 20$$

anonymous · Answer

@Mertsj can you finish helping me