For a short time after a wave is created by wind, the height of the wave can be modeled using y - a sin 2piT/t, where a is the amplitude and T is the period of the wave in seconds. 13. Write an equation for the given function given the period, phase shift, and vertical shift. cotangent function, period =pi phase shift = -1/3 pi, vertical shift = 2

y = 4sin((t+4π/3)/2) -2

Step-by-step explanation:

The generic form is   y = A·sin(B(t -C)) +D  

where  A is the amplitude

B is 2π/period

C is the phase shift

D is the vertical shift

You have   A = 4

period = 4π, so B = (2π)/(4π) = 1/2

C = -4π/3

D = -2

Putting these values into the above form gives:  

 y = 4sin((t+4π/3)/2) -2

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.