Each time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. A blood pressure reading is written as systolic/diastolic; a reading of 12080 is considered normal. A certain person's blood pressure is modeled by the function

p(t) = 120 + 25 sin(170t)

where p(t) is the pressure in mmHg (millimeters of mercury), at time t measured in minutes.

(a)Find the period (in minutes) of p.

(b)Find the number of heartbeats per minute.

(d)Find the blood pressure reading.

systolicdiastolic =

How does this compare to normal blood pressure?

This reading is lower than normal.

This reading is normal.

This reading is higher than normal.

2ND Problem

Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function b(t) =8.52.5cos ( pi/159 t)

(a)Find the period (in days). (b)Find the maximum and minimum brightness.