Question: The size of a certain insect population is given by P(t) = 300e 0.01t , where t is measured in days. (a) How many insects

The size of a certain insect population is given by P(t) = 300e0.01t, where t is measured in days.

(a) How many insects were present initially?

(b) Give a differential equation satisfied by P(t).

(c) At what time will the initial population double?

(d) At what time will the population equal 1200?

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