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The size P of a certain insect population at time t (in days) obeys the function P(t)=900 e 0.03t. (a) Determine the number of insects

The size P of a certain insect population at time t (in days) obeys the function P(t)=900e0.03t.

(a) Determine the number of insects at t=0 days.

(b) What is the growth rate of the insect population?

(c)Graph the function using a graphing utility.

(d) What is the population after 10 days?(e) When will the insect population reach 1530?

(f) When will the insect population double?

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