SOLUTION: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and the
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-> SOLUTION: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and the
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Question 1042541: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Crescent Moon Bay's water level in July as a function of time (t).
need to show work Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The high tide is 2 feet above a level of 4 ft
and the low tide is 2 ft below that level of 4 ft
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That tells me the amplitude must be
and I have to add a constant of to the cosine
function
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If the function is , then I want
to to equal 1 period ( 12 hrs )
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So far the function looks like: ( 1 period of the cosine )
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Now I have:
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Here's a plot of 1 period of the function
from to
