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- 04 Find the transfer function of the system shown by Mason's Rule, G₁ G₁ G₂ G3 H₁ G5 H₂ 95 Solve the following inverse transform Laplace transformations. 7s +15 C $²+2 Good luckarrow_forwardQ4) Use the Simplex method to solve the following problem: Max. Z = 10x₁ + 8x₂ Subject to : 30x₁ + 20x₂ ≤ 120 2x₁ + 2x₂ ≤9 4x₁ + 6x₂ ≤ 24 X1, X₂ 20arrow_forward***Problem 4.39 Because the three-dimensional harmonic oscillator potential (Equa- tion 4.188) is spherically symmetric, the Schrödinger equation can be handled by separation of variables in spherical coordinates, as well as cartesian coordinates. Use the power series method to solve the radial equation. Find the recursion formula for the coefficients, and determine the allowed energies. Check your answer against Equation 4.189.arrow_forward
- Using MATLAB to find the maximum.arrow_forwardThe natural exponential function can be expressed by . Determine e2by calculating the sum of the series for:(a) n = 5, (b) n = 15, (c) n = 25For each part create a vector n in which the first element is 0, the incrementis 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare thevalues obtained in parts (a), (b), and (c) with the value of e2calculated byMATLAB.arrow_forward(b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 4, L= 6.46 m, E = 59000 kN/cm2, I=35000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 14 bisection iteration? wo -23 +2L?x³ – L^x) 120EIL dy wo (-5x4 + 6L²a² – Lª) da 120EIL Choices 1.4445 O 2.6001 O4.3335 O 2.889arrow_forward
- Reduce the following block diagrams G|(s) R(s) G2(s)- G5(s)- G6(s) C(s) +. G3(s) G4(s G7(s)arrow_forwardLet f(x) = √√√x, g(x) = x + 8 and h(x) = . Compute the following function X (fh)(4)arrow_forwardQ1: Find the Laplace inverse for the function 8 3 F(s) = 3 s2 + 12 s2 – 49 Q2: Solve IVP y" – 10y' + 9y = 5t ,y(0) = -1 and y'(0) = 2 %3D %3Darrow_forward
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