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A given sinusoidal function has an amplitude of 8 , an axis at

`y=12`

, a period of

`9\pi `

, and a maximum at

`x=3\pi `

. Determine an equation for the function, and find all intersections of the function and

`y=16`

between

`x=-5\pi `

and

`x=12\pi `

. [8 marks] . Use DEMOS!