The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine wave with period 6 seconds. R is measured in liters per second. (a) Write a formula for R(t). Use k as the proportionality constant. R(t) = (b) If the rate of intake is 0.87 liters per second at 1.5 seconds, what is the value of k? k = (c) How fast is the rate of intake changing at 3 seconds?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine wave with period 6 seconds. R is measured in liters per second.
(a) Write a formula for R(t). Use k as the proportionality constant.
R(t)
=
(b) If the rate of intake is 0.87 liters per second at 1.5 seconds, what is the value of k?
k =
(c) How fast is the rate of intake changing at 3 seconds?
---Select---
Transcribed Image Text:The rate of intake, R, during a respiratory cycle for a person at rest is proportional to a sine wave with period 6 seconds. R is measured in liters per second. (a) Write a formula for R(t). Use k as the proportionality constant. R(t) = (b) If the rate of intake is 0.87 liters per second at 1.5 seconds, what is the value of k? k = (c) How fast is the rate of intake changing at 3 seconds? ---Select---
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