Blood pressure is given by two numbers written as a fraction systolic/diastolic. The systolic reading is the maximum pressure in an​ artery, and the diastolic reading is the minimum pressure in an artery. As the heart​ beats, the systolic measurement is​ taken; when the heart​ rests, the diastolic measurement is taken. A reading of 120/80 is considered normal. The pulse is the number of heartbeats per minute. Suppose the​ person's blood pressure after t minutes is given by p(t) = 20 sin (142πt) + 124​, where​ p(t) is the pressure in millimeters of mercury. Answer through ​(a) to ​(c). (a) Find the period and explain how it relates to pulse. Select the correct choice below and fill in the answer box to complete your choice. ​(Simplify your answer. Type an integer or a simplified​ fraction.) A) Period = ___. The pulse is the frequency of the​ function; it says how many times the heart beats in one minute. B) Period = ___. The pulse is the frequency of the​ function; it says how many times the heart beats in one hour. (b) Graph the function over one period. (c) What is the person's blood pressure? ___ (Write an integer or a fraction. Do not​ simplify.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Blood pressure is given by two numbers written as a fraction systolic/diastolic. The systolic reading is the maximum pressure in an​ artery, and the diastolic reading is the minimum pressure in an artery. As the heart​ beats, the systolic measurement is​ taken; when the heart​ rests, the diastolic measurement is taken. A reading of 120/80 is considered normal. The pulse is the number of heartbeats per minute. Suppose the​ person's blood pressure after t minutes is given by p(t) = 20 sin (142πt) + 124​, where​ p(t) is the pressure in millimeters of mercury. Answer through ​(a) to ​(c).

(a)
Find the period and explain how it relates to pulse. Select the correct choice below and fill in the answer box to complete your choice. ​(Simplify your answer. Type an integer or a simplified​ fraction.)

A) Period = ___. The pulse is the frequency of the​ function; it says how many times the heart beats in one minute.
B) Period = ___. The pulse is the frequency of the​ function; it says how many times the heart beats in one hour.

(b) Graph the function over one period.

(c) What is the person's blood pressure? ___ (Write an integer or a fraction. Do not​ simplify.)
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