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...
icon
Related questions
icon
Concept explainers
Topic Video
Question

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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning