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The relative growth rate I: of a bacterial culture is constant. a) If p(t) is the number of bacteria per cm2 at time t In hours, write the differential equation satisfied by p(t). W :n- b) If P Is the initial number of bacteria per cm2 lwrite the general solution of this differential equation. :n c) If there are 220 bacteria per cm2 after 31. 8454 hours and 380 bacteria per cm answer with an accuracy of 5 decimal places. cl) What was the initial number P of bacteria per cm2 ? Approximate to the nearest integer. e) What is the number of bacteria per an2 after 89 hours? Give your answer with an accuracy of 3 decimal places. Answer: p(89) = f) What is the growth rate of the population of bacteria after 89 hours? Give your answer with an accuracy of 3 decimal places and indicate the units. Use b for bacteria and h for y-ours. 9) How long will it take for the number of bacteria per cm2 to reach 300? Give your answer with an accuracy of 3 decimal places. 2 after 86.4997 hours, find the value of the constant 19. Give your