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A message in a bottle is floating on top of the ocean in a periodic...

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Basic Math

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A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 24 seconds, and the average height of the bottle is 8feet. The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. A cosine function relation to the height. model the movement of the message in a bottle inPart A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)Part B: Assuming that at t=0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? Part C: Based on the graph of the function, after how many seconds will it reach its lowest height?

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