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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Transcribed Image Text:3. 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).
4. Graph the function V (t) using the same
process you used to graph f (0) in Question 1.
Note: The differences in scale, between
transformations, may mean that it makes more
sense to graph some of the steps on separate
sets of coordinate axes, rather than all together.
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