The blood pressure p for a certain individual follows a pattern of simple harmonic motion during the pumping cycle between heartbeats. The minimum pressure is 80 mmHg (millimeters of mercury) and the maximum pressure is 120 mmHg. The individual's pulse is 60 beats per minute or equivalently 1 beat per second. Write a model representing the blood pressure p at a time t seconds into the cycle. Assume that at t = 0 , the blood pressure is 100 mmHg and is initially increasing.
The blood pressure p for a certain individual follows a pattern of simple harmonic motion during the pumping cycle between heartbeats. The minimum pressure is 80 mmHg (millimeters of mercury) and the maximum pressure is 120 mmHg. The individual's pulse is 60 beats per minute or equivalently 1 beat per second. Write a model representing the blood pressure p at a time t seconds into the cycle. Assume that at t = 0 , the blood pressure is 100 mmHg and is initially increasing.
Solution Summary: The author explains the model that represents the blood pressure, p (in mmHg), as a function of time, and the origin of the graph is shifted vertically to the midpoint of maximum and minimum
The blood pressure
p
for a certain individual follows a pattern of simple harmonic motion during the pumping cycle between heartbeats. The minimum pressure is
80
mmHg (millimeters of mercury) and the maximum pressure is
120
mmHg. The individual's pulse is
60
beats per minute or equivalently
1
beat per second. Write a model representing the blood pressure
p
at a time
t
seconds into the cycle. Assume that at
t
=
0
, the blood pressure is
100
mmHg and is initially increasing.
College Algebra with Modeling & Visualization (5th Edition)
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