During the test, the smallest 'volume per breath' is 0.6 liters, and this first happens for a breath that starts 3 seconds into the test. The largest volume per breath is 1.9 liters; this happens for a breath beginning 54 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 0.6 liters, and this first happens for a breath that starts 3 seconds into the test. The largest volume per breath is 1.9 liters; this happens for a breath beginning 54 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.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
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