Question 2 Suppose you are working on a scientific simulation project to model the growth of a Not yet population of bacteria in a controlled environment. The population of bacteria follows a answered logistic growth model, which is described by the following equation: Marked out of 25,00 dt dN = TN(1 - N) P Flag question where / is the population of bacteria at time t, r is the growth rate of the bacteria population, and K is the carrying capacity of the environment (dimensionless constant). Given that r is 0.2 per hour and K is 1000. Approximate the population of bacteria at t = 6 hours, t = 12 hours, and t = 24 hours using a suitable numerical method. You may use a suitable step size and start the calculation with an initial population of No = 100 bacteria at t = 0. Compare the results obtained from Euler's and Runge-Kutta methods at the specified time points. Answers: Population of bacteria at t=6 hours, t=12 hours, and t=24 hours t (hours) Using RK4th Using Euler's 6 12 24