Use Routh-Hurwitz method to determine the range of gain k for stability of the following characteristic equation s* + ks3 +s? +s+1
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Determine fxy(X=3,Y=4).
- Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.Give a clear and detailed solution of the intergral of e^-ct/m 2)
- By employing the Adams Fourth-Order Predictor-Corrector algorithm with the step size h=0.2, find the numerical solution of the following problem at t = 0.4; y^ prime =t^ 2 -2e^ -2t; y(0) = 1 , The true solution of this problem is 0 <= t <= 1 , y(t) = (t ^ 3)/3 + e ^ (- 2t) * C * o * m * p * c numerical result with the actual solution at this point. the obtained1. Use the Fixed-point iteration method and Bisection Method to findsolutions to within 10^-4 x^3 + 2x^2 – 5 = 0, [1, 4]Consider the linear model Yi = B0 + B1X1i + B2X2i + ui where ui is the error term and where E(ui|X1i,X2i) = 0, observations (Yi,X1i,X2i) are independent and identically distributed, 0 < E(Y4) < 1, 0 < 1i E(X14i) < 1, 0 < E(X24i) < 1 and where X2i = X12i. Are the OLS estimators Bˆ1 and Bˆ2 of the coe¢cients B1 and B2 unbiased and consistent? Explain.
- Find z1 and z2. use gauss elimination, not gauss jordanMaximize f(x) = 4x 1.8x² + 1.2x³- 0.3x4 a) Using Golden-Section Search (x₁ = −2,xu = 4, εs = 1%) b) Using Newton's Method (xo = 3, &s=1%)In Problems 23-28 show by computing the Wronskian that the given functions are linearly independent on the indicated interval.