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anonymous
 one year ago
In Steinhatchee in July, high tide is at noon. The water level is 5 feet at high tide and 1 foot 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 Steinhatchee's water level in July as a function of time (t).
anonymous
 one year ago
In Steinhatchee in July, high tide is at noon. The water level is 5 feet at high tide and 1 foot 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 Steinhatchee's water level in July as a function of time (t).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can some one explain how to solve this step by step???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The period of the time = 12 hours, therefore the coefficient of ( t ) in the cosine function is (2 pi ) / T = (2 pi)/ 12 = pi / 6 . Since the difference in water level is 5  1 = 4 feet, then the amplitude of the cosine is half that which is 2. f(t) = 2 cos pi over 6 t + 3 25. Maximum : 4 , Minimum : 2 , period : pi / 2 f(x) = a cos(k x) + b Maximum  Minimum = 4  (2) = 6 = 2 a , so a = 6/2 = 3 b = 1/2 (Maximum + Minimum) = 1/2 (4 + (2) ) = 1 k = (2pi)/ T = (2pi)/ (pi/2) = 4 f(x) = 3 cos( 4 x) + 1 24. f(x) has the largest maximum equal to 7. 22. Rate of change = (y2  y1) / (x2  x1) = (1  5 )/ (pi  0) = =  6 / pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you soo much!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you're welcome :)! Medal?
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