Chapter 7.3, Problem 105AE

Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is 120/80, which means the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure $P$ of an individual after t seconds can be modeled by the function

$P\left(t\right)=100+20\sin \left(\frac{7\pi }{3}t\right)$

a. In the interval $\left[0,1\right]$, determine the times at which the blood pressure is 100 mmHg.

b. In the interval $\left[0,1\right]$, determine the times at which the blood pressure is 120 mmHg.

c. In the interval $\left[0,1\right]$, determine the times at which the blood pressure is between 100 and 105 mmHg.