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Each Time Your Heart Beats, Your Blood Pressure Increases, Then p(t)=120+25sin(150πt)p ( t ) = 120 + 25 \sin ( 150 \pi t )

question 93

Essay

Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A certain person's blood pressure is modeled by the function p(t)=120+25sin(150πt)p ( t ) = 120 + 25 \sin ( 150 \pi t ) , where p(t)p ( t ) is the pressure in mmHg, at time t measured in minutes.
(a) Find the amplitude, average pressure between beats, the maximum and minimum blood pressure, period, and frequency of p.
(b) Sketch the graph of p.


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