Considerr the following blood-pressure function (in mmHg) over time (seconds) P(
ID: 2856158 • Letter: C
Question
Considerr the following blood-pressure function (in mmHg) over time (seconds) P(t) = 40 cos(pit/2) + 100 (a) Complete the following chart using the Unit Circle Table: (b) Computer the amplitude: A = (max - min)/2 = (140-60)/2 a = 40 Compute the midline: k = (max + min)/2 = (140 + 60)12 k =100 (d) The period T of cos(bt) is 2pi/b. Compute the period of P(t): T = 2pi/b = (e) The domain for one cycle of P(t) is R_P = [min, max] = Blood pressure R_p [60, 140] (g) Plot one cycle of the blood pressure reading indicating the min and max pointts, and drawing the midline, and properly labeling the axes. (h) From your knowledge (or guess) is this a healthy person? Respond addressing both the blood pressure and the heart rate. No, because this person's systolic (140) is too high and his diastolic (60) is too low. Also his pulse (40) is too low, almost bradycardia.Explanation / Answer
d)p(t)=40cos((/2)t) +100
period T of cosbt is 2/b
period T of 40cos((/2)t) +100 is 2/(/2) =4
e)domain for one cycle of p(t) is [0,T]=[0,4]