As a result of the tide, the depth of the water in the bay varies with time,. According to the harbourmaster the depth can be modeled by the function d(t)=2.5cos(pi/6)(t-2)+4, where t is the number of hours since midnight and d is the depth in meters, need Amplitude, Period, Phase shift, equation of midline

The amplitude = 2.5 metres

Period = t -2

Phase shifts = 4

Equation of the midline

= (pi/6)(t-2)+4

Step-by-step explanation:

If according to the harbour master the depth was modeled by the function

d(t)=2.5cos(pi/6)(t-2)+4,  then

The amplitude = 2.5 metres

Period = t -2

Phase shifts = 4

Equation of the midline = (pi/6)(t-2)+4

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.