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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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Definitions:

Shays' Rebellion

An armed uprising in 1786-1787 in Massachusetts by American farmers against state and local enforcement of tax collections and judgments for debt, highlighting the weaknesses of the Articles of Confederation.

Articles of Confederation

The first constitution of the 13 American states, adopted in 1781 and replaced in 1789 by the United States Constitution.

Articles of Confederation

The original constitution of the United States, ratified in 1781, which was replaced by the U.S. Constitution in 1789 due to its inability to provide a strong central government.

Supremacy Clause

A clause in the United States Constitution stating that federal law takes precedence over state laws and constitutions when they conflict.

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