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***** A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1...

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Basic Math

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A Ferris wheel is 25 meters in diameter and boarded from aplatform that is 1 meter above the ground. The six o’clock positionon the Ferris wheel is level with the loading platform. The wheelcompletes 1 full revolution in 10 minutes. The functionh(t) gives a person’s height in meters above theground t minutes after the wheel begins to turn.

  1. Find the amplitude, midline, and period ofh(t).
  2. Find the domain and range of the functionh(t) and
  3. Find a formula for the height functionh(t).
  4. State the phase shift and vertical translation
  5. How high off the ground is a person after 5 minutes?
  6. what would happen if the diameter of the Ferris wheelincreases?
  7. The time it takes the ferris wheel to complete one fullrevolution decreases?

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