The reliability block diagram of the system is shown in Figure 2, where the failure rates of each unit are the same and all are λ. Find the reliability function Rs(t) of the system. 14 24 34 2/3(G) 64 44 54 74 Figure 2 Reliability block diagram for the complex system 84

Consider the following real-world problem:  Suppose that the population of Memphis is 22,400, and 60% of the population are susceptible to contract a serious illness from a very contagious bacteria that was introduced as a form of biological warfare. The remaining people have no reaction to the bacteria. Assume the susceptible people are equally mixed throughout the population. On January 1, 2022 (time t=0), the number N(t) of people who had contracted the disease was 180 and was increasing at the rate of 39 per day. Assume that N’(t) is proportional to the product of the numbers of those who have caught the disease and of those who have not.  Write the differential equation that models the physical situation and solve for the exact answer.

Let bt represent the number of bacteria (measured in millions) at time t (measured in hours).This system can be modeled by the following updating function:bt+1 = 1.5btLet b0 =7.Iterate the discrete time dynamical system for a few steps:b1 = _______b2 = _______b3 = _______Write down a solution to the discrete-time dynamical system.Solution: b(t) = ______ Use your solution to compute the following:b(1) = _______b(2) = _______b(3) = _______Do your answers agree with your iterations? (yes/no) _________

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