A typical adult human heart contains about 120 milliliters of blood when full (just before contraction) and pumps out about 70 milliliters when it contracts, then fills again to 120 milliliters before contracting again. If a person has a resting heart rate of about 70 beats per minute, find a sinusoidal function V (t) which models the volume of blood in the heart as a function of time (using t = 0 to represent the moment the heart is full of blood, just before contraction), using the following process: a. Explain why we can use a sinusoidal function to model this process; b. Determine whether a sine or cosine function is more appropriate to model this process, and why; c. Identify A, B, C, D and explain how we get each from the context of the problem; d. Write the equation of the function V (t).
A typical adult human heart contains about 120 milliliters of blood when full (just before contraction) and pumps out about 70 milliliters when it contracts, then fills again to 120 milliliters before contracting again. If a person has a resting heart rate of about 70 beats per minute, find a sinusoidal function V (t) which models the volume of blood in the heart as a function of time (using t = 0 to represent the moment the heart is full of blood, just before contraction), using the following process: a. Explain why we can use a sinusoidal function to model this process; b. Determine whether a sine or cosine function is more appropriate to model this process, and why; c. Identify A, B, C, D and explain how we get each from the context of the problem; d. Write the equation of the function V (t).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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