A typical human heart pumps 70 milliliters(mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t) = 70(1 + sin(2πt), where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. 1. Use the FTC to verify that the amount of blood pumped in the first second is 70 mL. 2. Sketch a picture of V'(t) for 0 ≤ t ≤ 2 and explain your answer to 1. geometrically. 3. Find V(T), the amount of blood pumped up to time T.

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