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haleyelizabeth2017
 one year ago
The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs at 3:30 p.m. What is a cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m.
I have the first part of it, I just need helping finding the last bit of the function. So far I have 44 + 32 cos ______
haleyelizabeth2017
 one year ago
The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs at 3:30 p.m. What is a cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m. I have the first part of it, I just need helping finding the last bit of the function. So far I have 44 + 32 cos ______

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't think the 44 and 32 are right.

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Wait...20 is midline actually I think

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Whoops...wasn't thinking lol 32 + 20 cos :P

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0:) how do I figure out the second part?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the period is going to be twice the time between 9:15 am and 3:30 pm

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Which is 6.25 hours...so 13.5?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0And then I divide 2pi by that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.012.5 hrs. and then yes divide 2π by that

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Ah! Sorry...brain's not wanting to work today :( did that earlier too haha so I got: \[32 + 20 cos \frac{\pi}{6.25}\] we didn't really even need to multiply it by 2 :P

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Wait! forgot x

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0...or theta.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. and I think there's a shift

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Ah. wouldn't that be x +/ something?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Like it depends which way I thought...

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0so \[32 + 20 cos \frac{\pi}{6.25}(x+9.25) \] maybe?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. but since you shifted by half you could just switch the sign

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3220\cos \frac{ \pi x}{ 6.25 }\]

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0instead of adding 9.25? O.o

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Ah...is that all?

haleyelizabeth2017
 one year ago
Best ResponseYou've already chosen the best response.0Awesome! Thank you!
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