Blood Flow. A typical human heart pumps 70mL of blood with each stroke (stroke volume). Assuming a heart rate of 60 beats/min, a reasonable model for the outflow rate of the heart is V'(t)(1+sin 2 π t) where V(t) is the amount of blood (in milliliters) pumped over the interval [0,t], and t is measured in seconds.
Graph the outflow rate function.
Verify that the amount of blood pumped over a one second interval is 70mL.
Find the function that gives the total blood pumped between and a future time t>0.
What is the cardiac output over a period of 1 min. (use calculus, the check answers with algebra.