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

(a) In the interval [0, 1], determine the times at which the blood pressure is 100 mmHg.

(b) In the interval [0, 1], determine the times at which the blood pressure is 120 mmHg.

(c) In the interval [0, 1], determine the times at which the blood pressure is between 100 and 105 mmHg.

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P(t) = 100 + 20 sin( %3D 3