Circadian Rhythms Everybody’s blood pressure varies over the course of the day. In a certain individual the resting diastolic blood pressure at lime t is given by B(t) = 80 + 7 sin(πt/12), where t is measured in hours since midnight and B(t) in mmHg (millimeters of mercury). Find this person’s resting diastolic blood pressure at
- (a) 6:00 a.m.
- (b) 10:30 a.m.
- (c) Noon
- (d) 8:00 p.m.
(a)
To find: A person’s resting diastolic blood pressure at 6:00am if the person’s resting diastolic blood pressure is given by
Answer to Problem 82E
The person’s resting diastolic blood pressure at 6:00am is given by
Explanation of Solution
Calculation:
The person’s resting diastolic blood pressure is
For 6:00am, substitute
Therefore,
(b)
To find: A person’s resting diastolic blood pressure at 10:30am.
Answer to Problem 82E
The person’s resting diastolic blood pressure at 10:30am is given by
Explanation of Solution
Calculation:
The person’s resting diastolic blood pressure is
For 10:30am substitute
On further simplification,
Therefore,
(c)
To find: A person’s resting diastolic blood pressure at Noon.
Answer to Problem 82E
The person’s resting diastolic blood pressure at Noon is given by
Explanation of Solution
Calculation:
The person’s resting diastolic blood pressure is
For noon, substitute
Therefore,
(d)
To find: A person’s resting diastolic blood pressure at 8:00pm.
Answer to Problem 82E
The person’s resting diastolic blood pressure at 8:00pm is given by
Explanation of Solution
Calculation:
The person’s resting diastolic blood pressure is
For 8:00pm, substitute
On further simplification,
Therefore,
Chapter 5 Solutions
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