During the test, the smallest volume per breath' is 0.5 liters, and this first happens for a breath that starts 2 seconds into the test. The largest volume per breath is 1.8 liters; this happens for a...

Extracted text: During the test, the smallest volume per breath' is 0.5 liters, and this first happens for a breath that starts 2 seconds into the test. The largest volume per breath is 1.8 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.