According to the NIH, normal blood pressure is below 120/80, moderately high is from 140/90 to 159/99 and severe is higher than 160/100. The blood pressure of a particular person is modeled approximately by:   P = 135+30cos⁡(2.5(t)pi) where P is pressure in millimeters of mercury t seconds after the heart contracts. 1) Sketch one wave (starting at t = 0) of the cosine wave. Be sure to label your axes appropriately with P and t, as well as appropriate scales. Your P axis does not have to start at zero (it may begin at the minimum of the wave). Also clearly label five points on your cosine wave, which correspond to the minimums, maximums and zeros of the wave. Each point should have two coordinates.   2) What is the person’s blood pressure as an approximate ratio of two numbers?   3) What is the period of the heartbeat?   4) What is the pulse rate in beats per minute?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 According to the NIH, normal blood pressure is below 120/80, moderately high is from 140/90 to 159/99 and severe is higher than 160/100. The blood pressure of a particular person is modeled approximately by:  

P = 135+30cos⁡(2.5(t)pi)

where P is pressure in millimeters of mercury t seconds after the heart contracts.

1) Sketch one wave (starting at t = 0) of the cosine wave. Be sure to label your axes appropriately with P and t, as well as appropriate scales. Your P axis does not have to start at zero (it may begin at the minimum of the wave). Also clearly label five points on your cosine wave, which correspond to the minimums, maximums and zeros of the wave. Each point should have two coordinates.

 

2) What is the person’s blood pressure as an approximate ratio of two numbers?

 

3) What is the period of the heartbeat?

 

4) What is the pulse rate in beats per minute?

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