A healthy human heart pumps about 5 liters of blood per minute. Problems refer to Figure 5.66, which shows the response of the heart to bleeding. The pumping rate drops and then returns to normal if the person recovers fully, or drops to zero if the person dies.

(a) If the body is bled 2 liters, how much blood is pumped during the three hours leading to death?
(b) If f(t) is the pumping rate in liters per minute at time t hours, express your answer to part (a) as a definite integral.
(c) How much more blood would have been pumped during the same time period if there had been no bleeding? Illustrate your answer on the graph.

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pumping rate of heart (liters per minute) 5 4 3 2 1 Bled 1 liter Blęd 2 liters 1 2 Figure 5.66 Return to normal + NA 3 Death hours