A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isoceles triangles with altitudes of 3 feet.
a. If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when it is 1 foot deep?
b. If the water level is rising at a rate of 3/8 inch per minute when h = 2, determine the rate at which water is being pumped into the trough.
