During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath that starts 4 seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 57 seconds into the test. By creating a math model for this patient's breathing, doctors would have more information to decide if abnormal breathing is happening for the patient during the test**. Note: Let's assume that the patient's breath is steady: that the largest breath is equidistant from the first small breath and the second small breath. a) Find a formula for the function b(t) whose graph models the test data for this patient. b(t) : b) If the patient begins a breath every 5 seconds, what are the breath volumes during the first 30 seconds of the test? Hint: Your answer should be a list of numbers. Use the model from part (a) to find your answer(s), and write answers to 2 decimal places.
During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath that starts 4 seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 57 seconds into the test. By creating a math model for this patient's breathing, doctors would have more information to decide if abnormal breathing is happening for the patient during the test**. Note: Let's assume that the patient's breath is steady: that the largest breath is equidistant from the first small breath and the second small breath. a) Find a formula for the function b(t) whose graph models the test data for this patient. b(t) : b) If the patient begins a breath every 5 seconds, what are the breath volumes during the first 30 seconds of the test? Hint: Your answer should be a list of numbers. Use the model from part (a) to find your answer(s), and write answers to 2 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath that starts 4
seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 57
seconds into the test.
By creating a math model for this patient's breathing, doctors would have more information to decide
if abnormal breathing is happening for the patient during the test**.
Note: Let's assume that the patient's breath is steady: that the largest breath is equidistant from the first
small breath and the second small breath.
a) Find a formula for the function b(t) whose graph models the test data for this patient.
b(t)
b) If the patient begins a breath every 5 seconds, what are the breath volumes during the first 30 seconds of
the test? Hint: Your answer should be a list of numbers. Use the model from part (a) to find your answer(s),
and write answers to 2 decimal places.
liters
**and also, more information to decide if the patient's breathing is similar to the breathing of other patients.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a2dce8-d301-413e-9621-8419fda83add%2F51f33ec3-906b-451e-9b8c-760dc1b3fe74%2Fbb84d9f_processed.png&w=3840&q=75)
Transcribed Image Text:During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath that starts 4
seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 57
seconds into the test.
By creating a math model for this patient's breathing, doctors would have more information to decide
if abnormal breathing is happening for the patient during the test**.
Note: Let's assume that the patient's breath is steady: that the largest breath is equidistant from the first
small breath and the second small breath.
a) Find a formula for the function b(t) whose graph models the test data for this patient.
b(t)
b) If the patient begins a breath every 5 seconds, what are the breath volumes during the first 30 seconds of
the test? Hint: Your answer should be a list of numbers. Use the model from part (a) to find your answer(s),
and write answers to 2 decimal places.
liters
**and also, more information to decide if the patient's breathing is similar to the breathing of other patients.
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