Question

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_______

Answer 1

The amplitude = 2.5 metres

Period = t -2

Phase shifts = 4

Equation of the midline

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

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