the water depth in a harber is 21m at hight tide, and 11m at low tide. One cycle is completed approximatly every 12h.

a) find an equation for the water depth as a function of the time, t hours, after low tide

Question

the water depth in a harber is 21m at hight tide, and 11m at low tide. One cycle is completed approximatly every 12h.

a) find an equation for the water depth as a function of the time, t hours, after low tide

anonymous · Answer

i found the amplitude and the period of the equation


y=asink(x-c)+d

Amplitude
a=21-11/2
a=5

K

p=2pi/k
12=2pi/k
k=2pi/12
k=pi/6

what about the c and the d??

anonymous · Answer

@lgbasallote @satellite73  @dpaInc help? :S

anonymous · Answer

the answer at the back of the book says y=5sin pi/6 (t-3)+16