Question

At the end of a dock, high tide of 14 m is recorded at 9:00 a.m. Low tide of 6m is recorded at 3:00 p.m. A sinusoidal function can model the water depth versus time. HELP PLEASE!

Answer 1

a) construct a model for the water depth using a cosine function, where time is measure in hours past high tide.

Answer 2

and for sine.

Answer 3

Here amplitude is 4m right?

Answer 4

Yes.

Answer 5

and the vertical shift is 10

Answer 6

So, y=4cosx + 10

Answer 7

what is the difference between 3:00 PM and 9:00 AM

Answer 8

6 hour right?

Answer 9

Yes

Answer 10

So, timeperiod = 12 hour

Answer 11

360/12= 30?

Answer 12

So, its y= 4 cos(30t)+10

Answer 13

Yes, that's right and how do I write the equation for sine?

Answer 14

Same, y=4 sin(30t)+10

Answer 15

But the time difference is taken from different point

Answer 16

From 12:00PM

Answer 17

The correct answer is y=4sin[30(t-3)]+10 from the back of the book.

Answer 18

Oh ya that can be

Answer 19

How did they get " t-3 mhmh

Answer 20

y=4 sin(30t-90)+10

Answer 21

Since its maximum when t=0, sinx=1

Answer 22

So, Sinx=sin90

Answer 23

got it, thank you!