1. The number of viewers of a popular TV channel news can be modeled by a sinusoidal Function. Let t} = number of viewers, in millions, of the

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1. The number of viewers of a popular TV channel news can be modeled by a sinusoidal Function. Letfit} = number of viewers, in millions, of the channel t hours after midnight1 of January 14th; The minimal number of viewers occurs at 3:311] am every day with roughly five hundred thousandpeople watching the channel at that time. The maximal number of viewers is 5 million. {a} Assuming that the viewership every day is the same? write down a formula for fit]. {h} The channel increases their fees for TV advertisement when the viewership is at least 2milhen. Write down the exact and approximate time interval{s] during January 14th andJanuary 15th when the channel charges their regular fee for advertising