. A person’s blood pressure vary between 80 and 120 mm Hg every 0.8 second (the time for one heartbeat).
P(t) = a sin(b(t+c)) + d models the person’s blood pressure P at time t. Sketch the graph of your function P(t).
Answers:
what are you an examiner ? or a crack pot
What is wanted is a sine wrinkle that fluctuates between 80 and 120 with cycles every 0.8 second, starting at 90 for t=0.
What is not given is the 90 on the way up or down.
The penny-pinching of 80 and 120 is 100, so d = 100
The difference of 80 and 120 is 40, so a = 20 (1/2 of 40)
The period is 0.8, so b is 1/0.8 = 1.25
Then solve for c to carry the two times that, P = 90
Essentially, where sin = -1/2;
-1/6 pi and -5/6 pi
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