With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is call- the systolic pressure and the minimum blood pressure is called diastolic pressure. When a doctor records an individual's blood pressure such as "120 over 8C is understood as "systolic over diastolic". Suppose that the blood pressure for a certain individual is approximated by p () = 80 + 30 sin (160nt) where p is th blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. (a) Find the period of the function and interpret the results. (b) Find the maximum and minimum values and interpret this as a blood pressure reading. (c) Find the times at which the blood pressure is at its maximum. Part 1 of 3 (a) Find the period of the function and interpret the results. The period is minutes and represents the time for one complete heartbeat. olo

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called
the systolic pressure and the minimum blood pressure is called diastolic pressure. When a doctor records an individual's blood pressure such as "120 over 80" it
is understood as "systolic over diastolic". Suppose that the blood pressure for a certain individual is approximated by p (t) = 80 + 30 sin (160nt) where p is the
blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins.
(a) Find the period of the function and interpret the results.
(b) Find the maximum and minimum values and interpret this as a blood pressure reading.
(c) Find the times at which the blood pressure is at its maximum.
Part 1 of 3
(a) Find the period of the function and interpret the results.
The period is
minutes and represents the time for one complete heartbeat.
This implies that the heart rate is
beats per minute. (Write your answers as simplified fractions, if necessary.)
olo
Transcribed Image Text:With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called diastolic pressure. When a doctor records an individual's blood pressure such as "120 over 80" it is understood as "systolic over diastolic". Suppose that the blood pressure for a certain individual is approximated by p (t) = 80 + 30 sin (160nt) where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. (a) Find the period of the function and interpret the results. (b) Find the maximum and minimum values and interpret this as a blood pressure reading. (c) Find the times at which the blood pressure is at its maximum. Part 1 of 3 (a) Find the period of the function and interpret the results. The period is minutes and represents the time for one complete heartbeat. This implies that the heart rate is beats per minute. (Write your answers as simplified fractions, if necessary.) olo
Part 2 of 3
(b) Find the maximum and minimum values and interpret this as a blood pressure reading.
The maximum is
mmHg, the minimum is
mmHg and the blood pressure reading is
over
".
Part: 2 / 3
Part 3 of 3
(c) Find the times at which the blood pressure is at its maximum.
The blood pressure is maximized at
minutes after recording begins and every
minutes thereafter. (Write your
answers as simplified fractions, if necessary.)
olo
Transcribed Image Text:Part 2 of 3 (b) Find the maximum and minimum values and interpret this as a blood pressure reading. The maximum is mmHg, the minimum is mmHg and the blood pressure reading is over ". Part: 2 / 3 Part 3 of 3 (c) Find the times at which the blood pressure is at its maximum. The blood pressure is maximized at minutes after recording begins and every minutes thereafter. (Write your answers as simplified fractions, if necessary.) olo
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