With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called diastolic pressure. When a doctor records an individual's blood pressure such as " 120 over 80" it is understood as "systolic over diastolic". Suppose that the blood pressure for a certain individual is approximated by p (t) = 70 +30 sin(120πt) where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. (a) Find the period of the function and interpret the results. (b) Find the maximum and minimum values and interpret this as a blood pressure reading. (c) Find the times at which the blood pressure is at its maximum.

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