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Application Problems: Problem 9: A Ferris wheel is 20 feet in diameter and boarded from a platform that is 5 feet above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives your height in feet above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Find a formula for the height function h(t). b. c. How high are you off the ground after 5 minutes?

Application Problems: Problem 9: A Ferris wheel is 20 feet in diameter and boarded from a platform that is 5 feet above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives your height in feet above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Find a formula for the height function h(t). b. c. How high are you off the ground after 5 minutes?

Advanced Engineering Mathematics
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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macy hufford Application Problems: Problem 9: A Ferris wheel is 20 feet in diameter and boarded from a platform that is 5 feet above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives your height in feet above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). b. Find a formula for the height function h(t). C. How high are you off the ground after 5 minutes? Problem 10: A population of rabbits oscillates 50 above and below an average of 200 during the year, hitting the lowest value in February (t = 0). Find an equation for the population, P, in terms of the months since February, t.
Transcribed Image Text:macy hufford Application Problems: Problem 9: A Ferris wheel is 20 feet in diameter and boarded from a platform that is 5 feet above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives your height in feet above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). b. Find a formula for the height function h(t). C. How high are you off the ground after 5 minutes? Problem 10: A population of rabbits oscillates 50 above and below an average of 200 during the year, hitting the lowest value in February (t = 0). Find an equation for the population, P, in terms of the months since February, t.
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