Everybody's blood pressure varies over the course of the day. In a certain individual the resting diastolic blood pressure at time t is given by B(t) = 90 + 3 sin(πt/12), where t is measured in hours since midnight and B(t) in mmHg (millimeters of mercury). Find this person's diastolic blood pressure at the following times. (Round your answers to one decimal place.) (a) 6:00 A.M. mmHg (b) noon mmHg (c) 6:00 P.M. mmHg
Accepted Solution
A:
9514 1404 393Answer: (a) 6 am: 93 (b) noon: 90 (c) 6 pm: 87Step-by-step explanation:(a) The given time is 6 hours after midnight, so the BP is ... B(6) = 90 +3sin(π·6/12) = 90 +3 = 93 . . . mmHg__(b) The given time is 12 hours after midnight, so the BP is ... B(12) = 90 +3sin(π·12/12) = 90 +0 = 90 . . . mmHg__(c) The given time is 18 hours after midnight, so the BP is ... B(18) = 90 +3sin(π·18/12) = 90 -3 = 87 . . . mmHg