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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).

Reference no: EM13122787

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