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Mathematics - Algebra - Functions and Graphs

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For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4.

a) Show coordinates in this space

b) Show graph here

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Mathematics - Algebra - Functions and Graphs

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).

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