N Panama City in January, high tide was at midnight. The water level at high tide was 9 feet and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in January for Panama City as a function of time (t). f(t) = 4 cospi over 2t + 5 f(t) = 5 cospi over 2t + 4 f(t) = 5 cospi over 6t + 4 f(t) = 4 cospi over 6t + 5

QUESTION POSTED AT 18/01/2020 - 07:40 AM

Answered by admin AT 18/01/2020 - 07:40 AM

The period of this function ( cos (bx) ):
T = \frac{2 \pi }{b}=12
b=  \frac{2 \pi }{12} = \frac{ \pi }{6}
Maximum  tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9
Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1
Answer: D) f(t)= 4 cos (π/6 t) +5
Post your answer

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QUESTION POSTED AT 20/02/2020 - 11:12 PM

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