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Mathematics 22 Online
OpenStudy (allieeslabae):

help?

OpenStudy (allieeslabae):

@sshayer

OpenStudy (misty1212):

HI!!

OpenStudy (allieeslabae):

Hey girl!

OpenStudy (misty1212):

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

OpenStudy (misty1212):

from 9:15 to 3:30 is \(6\tfrac{1}{4}\) hours , so that is half your period

OpenStudy (misty1212):

making the period \(12.5\) hours (from low tide to low tide)

OpenStudy (misty1212):

function will look like \[f(x)=-20\cos(bx)\] to find \(b\) solve \[\frac{2\pi}{b}=12.5\] for \(b\)

OpenStudy (misty1212):

the minus sign because when you start, it is LOW tide

OpenStudy (misty1212):

oh also you have to add \(32\) out at the end to make it \(12\) when you start at \(52\) at high tide

OpenStudy (misty1212):

\[f(x)=-20\cos(bx)+32\]

OpenStudy (misty1212):

can you find \(b\)?

OpenStudy (allieeslabae):

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!

OpenStudy (allieeslabae):

I got pi over 6.25! Thanks so much!

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