Question

1. Suppose an oil pump is producing 800 gallons per hour for the first 5 hours of operation. For the next 4 hours, the pumps production is increased to 900 gallons per hour, and then for the next 3 hours, the production is cut to 600 gallons per hour. Gollow how a) Make a graph modeling this situation. b) The term "area under a graph" is the area between the graph and the horizontal axis. Find the area under the graph from 0 to 5 hours. What does this value represent? c) Find the total area under the graph for the entire 12 hours. What does this value represent? -0.0091 +0.21, where 2. Suppose that in a memory experiment, the rate of memorizing is given by M M() is the memory rate, in words per minute. The graph is shown below. Explain what the shaded area represents in the context of this problem. Memory Rate (in words per minute) Time (in minutes) 3. A particle is moving along the x-axis with velocity given by v(1) -21+1, where velocity is measured in feet/sec. a) Drow a sketch of the velocity function for 0 Siss. b) What does the area under the graph of velocity represent?

Answer 1

Gallons/hour Ans: 10007 goot 800- 7007 600 500 t 4oooq I 4500g 45oog i 180og. 180oT 400- 300 200 + 100- HHHHHHH+ Theurs Shrs. qoogal hr = 46000 The oil pump total in the gallons produced 4000 gallons first shours of operation

(c) - 5(800) + 4 (900) +31600) = 10,300 gallons The oil pump produced a total of 10,300 gallons of oil over the 12 hr period. Ans mino words = Words min Memory Rate the from of total words memorized t-o to t=10 min. the experiment to Time

- ag (5,1) VG) (37) 14,9). F (1.3) R 1 2 3 4 5 (6) Any: The distance that the partick moves along the x-axis measured in feet from t-o to t= 5 seconds.
(Thank You).