Answer:
The tide is 12 feet height at t=2.
Step-by-step explanation:
Given: [tex] f(t)=7\cos(\frac{\pi}{4}t)+12[/tex]
It is cosine function which represents the tide of light sea.
It has maximum of 19 feet at t=0
It has minimum of 5 feet at t=4
The sea repeats cycle every 8 hours. (Period = 8)
We need to find height of tide after 2 hours.
We will put t=2 into equation and solve for f(t)
[tex]f(2)=7\cos(\frac{\pi}{4}\cdot 2)+12[/tex]
[tex]f(2)=7\cos(\frac{\pi}{2})+12[/tex]
[tex]f(2)=12[/tex]
Please see the attachment for graphical result.
Hence, The tide is 12 feet height at t=2.
