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.
When drugs are administered into the bloodstream, the amount of the drug present
decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the
bloodstream is modeled by the function, where is the initial dosage, and t is the time (in
hours) after the initial dose was given.
The following chart shows the relationship between the original dose and how much is sti
in the system after so much time.
Xanax (3mg) amount still in system after X hours
2.5
1.5
0.5
2
10
12
14
16
18
20
22
24
Number of hours after dose was taken
After how many hours will there be approximately 1/2 of the original dose in the body?
3.
2.
1.
Amount still in the system in mg's
The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the
triangle is increasing at a rate of 4 cm²/min. At what rate is the base of the triangle
changing when the altitude is 10 cm and the area is 90 cm2?
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