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@sshayer
HI!!
Hey girl!
from \(12\) to \(52\) is a variation of \(52-12=40\) so you will want to make the amplitude of your function half of that, namely 20
from 9:15 to 3:30 is \(6\tfrac{1}{4}\) hours , so that is half your period
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making the period \(12.5\) hours (from low tide to low tide)
function will look like \[f(x)=-20\cos(bx)\] to find \(b\) solve \[\frac{2\pi}{b}=12.5\] for \(b\)
the minus sign because when you start, it is LOW tide
oh also you have to add \(32\) out at the end to make it \(12\) when you start at \(52\) at high tide
\[f(x)=-20\cos(bx)+32\]
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can you find \(b\)?
Hey sorry my internet went out for a moment there. thanks so much. I think I can manage ill let you know what I get!
I got pi over 6.25! Thanks so much!
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