Asked by Anonymous
Suppose that a person’s blood pressure at time t in seconds is given by
p(t) = 100 + 18 sin (7t).
(a) During each heartbeat, what is the systolic pressure (maximum blood pressure)
and the diastolic pressure (minimum blood pressure)?
(b) According to this model, how many heartbeats are there per minute?
p(t) = 100 + 18 sin (7t).
(a) During each heartbeat, what is the systolic pressure (maximum blood pressure)
and the diastolic pressure (minimum blood pressure)?
(b) According to this model, how many heartbeats are there per minute?
Answers
Answered by
Reiny
sin(anything) has a minimum of -1 and a max of +1
so 18sin(7t) has a min of -18 and a max of 18
since 18sin(7t) is added to 100
the minimum would be 100-18 or 82
the maximum would be 100+18 = 118
period of the function :
2π/7 = period
period = appr .897 sec per period
so in 1 minute we would have 60/.897 = appr 66.8 beats/minute
so 18sin(7t) has a min of -18 and a max of 18
since 18sin(7t) is added to 100
the minimum would be 100-18 or 82
the maximum would be 100+18 = 118
period of the function :
2π/7 = period
period = appr .897 sec per period
so in 1 minute we would have 60/.897 = appr 66.8 beats/minute
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