Question

2. A swimming pool drains at a rate of r'(t) = -6t gallons per minute where t is the number of minutes after the water began draining, 0 ≤ t ≤ 12

(a) Draw the graph of the rate of change function. Make sure to correctly label the axes.

(b) Find and write a sentence of interpretation for r'(4).

(c) Calculate the change in the volume of the water in the pool during the first twelve minutes after the water started draining.

3. Use the midpoint rule with 4 rectangles on the previous problem. If you get a different area than what you got for 2(c), then state why there is a difference.

Answer 1