Determine term c1 and c2 by using Rayleigh-Ritz method. Displacement function is u(x)= c1(x/l)+c2(x/l)^2. answer: c1=...
Use the Rayleigh Ritz Method to determine the unknown coefficients. 1. The rod is subjected to a distributed load po and two point forces (F applied at x 3L/4 and x -L). a. Select an appropriate two-term approximate solution of the form b. Use the Rayleigh Ritz Method to determine the unknown coefficients a and a LU4
Fourier Wave Equation Question 2 The function u(x,t) is governed by the wave equation 82u 182u 8x2 c2 8t2 Subject to the following conditions having c2 3 i. At x 0 and x-1, u 0 for all t 2 0. i. Whent 0, for sx s 1 Use the method of separation of variables to establish that the solution for u(x, t). From the solution established, given a condition t0, usinx(1 + cosx) for 0 s x s1. Find the...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...
Determine the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. 7 F(u) = (2+w+9 7 F(u) = (2+w+9
Function LUfac_solver.m is provided here: function [x] = LUfac_solver(LU,b,piv) % % function [x] = LUfac_solver(lu,b) % % This program employs the LU factorization to solve the linear system Ax=b. % % Input % LU: lu matrix from GEpivot_new function % b: right side column vector (ordered corresponding to original vector % sent to GEpivot_new) % piv: vector indicating the pivoting (row interchanges that took place % during GE % % Output % x: solution vector % % Written by Steve...
5.1.2 Open Methods - Newton-Raphson Method Xi+1= xi – FOTO Matlab Code Example:4 function mynewtraph (f, f1,x0,n) Xx0; for ilin x = x - f(x)/f1(x); disp (li if f(x) <0.01 f(x))) break end end end Matlab Code from Chapra function [root, ea, iter)=newtraph (func,dfunc, xr, es,maxit,varargin) newtraph: Newton-Raphson root location zeroes 8 [root, ea, iter)-newtraph (func, dfunc, xr, es,maxit,pl,p2, ...): $uses Newton-Raphson method to find the root of fune input: func- name of function 8dfunc = name of derivative of...
answer it or leave it for another expert 2 LI2 A three-node bar element shown below is uniform and is allowed only axial displacement u. Its degrees of freedoms are us, U and us The shape functions for this bar are given by 2x-1x N L-31x+2x and N 4(Lx-x b.Using the properties of shape a function, determine which of the above shape functions are N, N2 and Na 2 LI2 A three-node bar element shown below is uniform and is...
3. A taxpayer has utility function U(x, L) = x ^1/2 − L where L is hours of labour supply and x is consumption. The taxpayer earns a wage of $4 per hour worked (which is fixed throughout the analysis). (a) Suppose that the government imposes a proportional (percentage) tax at rate τ on labour income, so that the taxpayer’s budget constraint is x = (1 − τ )4L. Solve for the optimal labour supply (L) and consumption (x) as...
Use the equation below to answer the following question(s) x(t) = cos(a)t)u(t) 4. Using the definition of the Laplace Transform, what is the Laplace Transform of the function above? (Note Y ou must show all work in deriving the transform. You will get no points for picking the correct choice only!) ( +20) c. s2 +203 s2 +23 23
ONLY ANSWER IF 100 PERCENT CORRECT USE MATLAB 9 8 6 3 2 t (s) 10 0 2 4 6 8 Entire an equivalent function for the plot shown here using the step function, u(t) 9 8 6 3 2 t (s) 10 0 2 4 6 8 Entire an equivalent function for the plot shown here using the step function, u(t)