Problem

Use the graph of \(T(t)~=~15\cos((2\pi~/365)(t~-~30))~+~60\) to state the amplitude, midline, period, frequency, phase shift, range, and behavior at \(t~=~30\), with units.

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The amplitude is 15 temperature units, the midline is 60 temperature units, the period is 1/365 cycle per day, the frequency is 365 days, the phase shift is 30 days right, and the range is [45, 75] temperature units. At t = 30, the cosine model is at its maximum of 75.

The amplitude is -15 temperature units, the midline is 60 temperature units, the period is 365 days, the frequency is 1/365 cycle per day, the phase shift is 30 days right, and the range is [45, 75] temperature units. At t = 30, the cosine model is at its maximum of 75.

The amplitude is 15 temperature units, the midline is 60 temperature units, the period is 365 days, the frequency is 1/365 cycle per day, the phase shift is 30 days right, and the range is [-15, 15] temperature units. At t = 30, the cosine model is at its maximum of 75.

The amplitude is 15 temperature units, the midline is 60 temperature units, the period is 365 days, the frequency is 1/365 cycle per day, the phase shift is 30 days right, and the range is [45, 75] temperature units. At t = 30, the cosine model is at its maximum of 75.

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Use the graph of \(T(t)~=~15\cos((2\pi~/365)(t~-~30))~+~60\) to state the amplitude, midline, period, frequency, phase shift, range, and behavior at \(t~=~30\), with units.

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