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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

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sqdancefan

9514 1404 393

Answer:

  (a) 6 am: 93

  (b) noon: 90

  (c) 6 pm: 87

Step-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

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(b) The given time is 12 hours after midnight, so the BP is ...

  B(12) = 90 +3sin(π·12/12) = 90 +0 = 90 . . . mmHg

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(c) The given time is 18 hours after midnight, so the BP is ...

  B(18) = 90 +3sin(π·18/12) = 90 -3 = 87 . . . mmHg

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