Posted by joey on Sunday, March 23, 2014 at 7:05am.
Suppose that Magnus' blood pressure can be modeled by the following function
{{{p(t)=8318sin(71pi*t)}}}
Magnus' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p(t)is the blood pressure in mmHg (millimeters of mercury), and t is the time in minutes.
Find the following. If necessary round to the nearest hundredth.
Amplitude of p
Number of heartbeats per minute
Time for one full cycle of p

trig  Reiny, Sunday, March 23, 2014 at 8:36am
sin(anything) lies between 1 and +1
so 18sin(71π t) lies between 18 and +18
then p lies between 8318 and 83+18
or between 65 and 101
period of your function = 2π/(71π) = 2/71 min
or appr 1.69 seconds
1.69 seconds = 1 beat
1 second = 1/1.69 beats
60 seconds = 60/1.69 beats= 35.5 beats
Use my analysis to answer your questions.