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 + 0.18 t' + 100 P(t):

(a) Find the rate of change of P when t = 6, and explain its meaning.
(b) Find the rate of change of P when t = 12, and explain its meaning.
(c) One month prior to the election, is it better for P'(t) to be positive or negative? Explain.

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