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Math Question

The size \( P \) of a certain insect population at time \( t \) (in days) obeys the function \( P(t)=200 e^{0.06 t} \).
(a) Determine the number of insects at \( t=0 \) days.
(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 340 ?
(e) When will the insect population double?

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