Discuss the below:
Q: A physician injects 5 mg of dye into a vein near the heart of a patient and by monitoring the concentration of dye in the blood over a 24-second period, determines that the concentration of dye leaving the heart after t seconds (o<=t<=24) is given by the function
C(t) = 0 for 0<=t<=2 and
C(t) = -0.034(t^2 - 26t + 48) for 2<=t<=24
a) Use this information to find the patient's cardiac output.
b) Sketch the graph of C(t).