Answered: The following table shows the daily…

The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009.

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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A strain of common bacteria, E.coli can be lethal when consumed orally. Suppose you found this bacteria that divides in every 35 minutes. Current understanding of this bacteria is that it can be lethal when the bacterial population exceeds 20 million, the patient will show symptoms of liver failure that can lead to death.
When an object is removed from a furnace and placed in an environment with a constant temperature of 90°F, its core temperature is 1500°F. Five hours later the core temperature in 390°F. Explain why there must exist a time in the interval when the temperature is decreasing at a rate of 222°F per hour.
During the test, the smallest 'volume per breath' is 0.7 liters, and this first happens for a breath that starts 2 seconds into the test. The largest volume per breath is 1.7 liters; this happens for a breath beginning 53 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…
Many runners believe that listening to music while running enhances their performance. The authors of a paper wondered if this is true for experienced runners. They recorded time to exhaustion for 11 triathletes while running on a treadmill at a speed determined to be near their peak running velocity. The time to exhaustion was recorded for each participant on two different days. On one day, each participant ran while listening to music that the runner selected as motivational. On a different day, each participant ran with no music playing. You can assume that it is reasonable to regard these 11 triathletes as representative of the population of experienced triathletes. Only summary quantities were given in the paper, but the data in the table below are consistent with the means and standard deviations given in the paper. Time to exhaustion (in seconds) Motivational music Runner 1 3 4 5 6 7 8 9 10 11 535 534 527 521 432 498 555 399 536 543 524 No music 467 449 483 574 563 593 474 499…
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