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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) = 60+30 sin (140mt) 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: 0/3 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.)

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) = 60+30 sin (140mt) 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: 0/3 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.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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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) = 60+30 sin (140mt) 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: 0/3 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 Part: 1 / 3 beats per minute. (Write your answers as simplified fractions, if necessary.) 8 X Ś
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) = 60+30 sin (140mt) 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: 0/3 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 Part: 1 / 3 beats per minute. (Write your answers as simplified fractions, if necessary.) 8 X Ś
Part: 1/3 Part 2 of 3 (b) Find the maximum and minimum values and interpret this as a blood pressure reading. The maximum is over Part: 2/3 Part 3 of 3 11 mmHg, the minimum is mmHg and the blood pressure reading is (c) Find the times at which the blood pressure is at its maximum. The blood pressure is maximized at answers as simplified fractions, if necessary.) minutes after recording begins and every X Ś minutes thereafter. (Write your X S
Transcribed Image Text:Part: 1/3 Part 2 of 3 (b) Find the maximum and minimum values and interpret this as a blood pressure reading. The maximum is over Part: 2/3 Part 3 of 3 11 mmHg, the minimum is mmHg and the blood pressure reading is (c) Find the times at which the blood pressure is at its maximum. The blood pressure is maximized at answers as simplified fractions, if necessary.) minutes after recording begins and every X Ś minutes thereafter. (Write your X S
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