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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.EXAMPLE 3 Find the trajectories of the autonomous system (19) dxdt=y,dydt=x.The average number of customers in the system in the single-channel, single-phase model described in Section 12.4 is L=λ/(μ – λ) Show that for m = 1 server, the multichannel queuing model in Section 12.5, is identical to the single-channel system. Note that the formula for P0 (Equation 12-13) must be utilized in this highly algebraic exercise.
- Weather is notoriously difficult to predict. Models are subject to chaotic motion and must consider the initial conditions. The famous butterfly effect states that if a butterfly flaps its wings in Tahiti, that small event might cause a hurricane to hit Texas. This leads us to the following model: suppose that weather at time t is always between 0 and 1 and is governed by x_(t+1)=〖4x〗_t (1-x_t ). For x_0 = 0.2 and x_0 = 0.2000001, determine x_1; x_2;… x_50. Assume values for x closer to zero represent mild weather, and closer to 1 represent extreme weather. How do your calculations illustrate the butterfly effect? Support your answer with graphs. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Weather is notoriously difficult to predict. Models are subject to chaotic motion and must consider the initial conditions. The famous butterfly effect states that if a butterfly flaps its wings in Tahiti, that small event might cause a hurricane to hit Texas. This leads us to the following model: suppose that weather at time t is always between 0 and 1 and is governed by x_(t+1)=〖4x〗_t (1-x_t ). For x_0 = 0.2 and x_0 = 0.2000001, determine x_1; x_2;… x_50. Assume values for x closer to zero represent mild weather, and closer to 1 represent extreme weather. How do your calculations illustrate the butterfly effect? Support your answer with graphs.Find y''of 4cos(x/2)+e^-2x
- 1. How do you find the linearization of f(x) at x = a? Illustrate with a concrete exampleOn a Fijian coral reef, refugia in coral heads are a limiting resource for Species 1 (damsel fish), and Species 2 (angel fish). Species 1 has a per capita growth rate (r) of 0.05, a population size (N1) of 800, and a carrying capacity (K) of 1000. Species 2 has a population of 200 (N2) and the competition coefficient (α) is 0.5. Assuming a one-year breeding cycle, what is the total population size of Species 1 at the beginning of year 2? a. 804 b. 902 c. 790 d. 840 e. None of these choices are correctf(x) = (x2-x-1) e-x is restricted to the domain x ≥ 0 and it has two critical points. One at x = 0 and the other at x = 3 At what value x does f(x) attain its maximum?
