During a flu epidemic in a small town, a public health official finds that the total number of people P who have caught the flu after t days is closely approximated by the formula P = −t2 + 26t + 106, where 1 ≤ t ≤ 13.
(a) How many have caught the flu after 10 days?
(b) After approximately how many days will 250 people have caught the flu?
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