Number 2 part e 4.8 Assess Your UnderstandingApplications and Extensions1. Growth of an Insect Population The size P of a certain insectpopulation at timet (in days) obeys the model P (t) = 500e0.021(a) Determine the number of insects at t = 0 days.2.0079 = 1 +1.0079= 0.0316e31.8956= 0.058110.0581rin (31.8956)t = 59.6 yearsIt will take approximately 59.6 yearsproducts remaining to reach 50%.(d) The numerator of 100.3952 is reason.posswood products remaining that isNow Work PROBLEM 27ani(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 800?(e) When will the insect population double?mon2. Growth of Bacteria The number N of bacteria present in aculture at time t (in hours) obeys the model N(t) = 1000e0.01coin (a) Determine the number of bacteria at t = 0 hours.b(b) What is the growth rate of the bacteria?(c) What is the population after 4 hours?(d) When will the number of bacteria reach(e) When will the number of bacteria double?-9******3. Radioactive Decay Strontium-90 is a radioactive materialthat decays according to the function A (t) = Age -0.02441where Ao is the initial amount present and A is the amountpresent at tsample of 5(a) What is(b) How m(c) When w(d) What is4. Radioactivdecays acc-Ao is the inat time t (i100 grams(a) What(b) How m(c) When(d) What5. Growth ocolony of

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(e) When will the insect population double? 2. Growth of Bacteria The number N of bacteria present in a culture at timet (in hours) obeys the model N (t) = 1000e0.011 (a) Determine the number of bacteria at t = 0 hours. (b) What is the growth rate of the bacteria? (c) What is the population after 4 hours? (d) When will the number of bacteria reach (e) When will the number of bacteria double? Decay Strontium-90 is a radioactive material