Suppose that the proportion P of voters who recognize a candidate's name t months after the start

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Suppose that the proportion P of voters who recognize a candidate's name t months after the start of the campaign is given by
13t P(t) = t2 + 100 + 0.18

(a) How many months after the start of the campaign is recognition at its maximum?
(b) To have greatest recognition on November 1, when should a campaign be launched?

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