アN 0. 2. B=2 Matrix ) Find all the eigen values. ) Calculate the eigenvector correspon ding to the Caleulare largest eigenvalue.
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- The 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.1) Second order stress tensor represents the state of stress at a point in a mechanical part (SEE IMAGES). The eigenvalues of σ are the principal stresses at the corresponding point, which are important for determining when the mechanical part will yield. Use the characteristic equation to determine the principal stresses of σ. Please show your steps. 2) Given that an eigenvector, v, corresponding to a particular eigenvalue, λ˜, of σ must satisfy (σ − λ˜I)v = 0, find the eigenvectors associated with the eigenvalues from (b). You may use software to verify your answer but please show your steps. Draw the eigenvector and eigenvalue.For the DE: dy/dx=2x-y y(0)=2 with h=0.2, solve for y using each method below in the range of 0 <= x <= 3: Q1) Using Matlab to employ the Euler Method (Sect 2.4) Q2) Using Matlab to employ the Improved Euler Method (Sect 2.5 close all clear all % Let's program exact soln for i=1:5 x_exact(i)=0.5*i-0.5; y_exact(i)=-x_exact(i)-1+exp(x_exact(i)); end plot(x_exact,y_exact,'b') % now for Euler's h=0.5 x_EM(1)=0; y_EM(1)=0; for i=2:5 x_EM(i)=x_EM(i-1)+h; y_EM(i)=y_EM(i-1)+(h*(x_EM(i-1)+y_EM(i-1))); end hold on plot (x_EM,y_EM,'r') % Improved Euler's Method h=0.5 x_IE(1)=0; y_IE(1)=0; for i=2:1:5 kA=x_IE(i-1)+y_IE(i-1); u=y_IE(i-1)+h*kA; x_IE(i)=x_IE(i-1)+h; kB=x_IE(i)+u; k=(kA+kB)/2; y_IE(i)=y_IE(i-1)+h*k; end hold on plot(x_IE,y_IE,'k')
- I need a step by step answer please on howe we do substitute and make d^2 as the subject of the equation. Thank you :)T(1)=199.583 T(2)=198.67 T(3)=195.7569 Solve Using Finite Elemental method only need step wise step and correct ansAnswers T(1)=199.583 T(2)=198.67 T(3)=195.7569 Solve Using Finite Elemental method only need step wise step and correct ans
- ᴀ ꜱᴛᴇᴇʟ ʙᴇ ʀᴏᴅ ᴏɴ ʙʀɪᴅɢᴇ ᴍᴜꜱᴛ ʙᴇ ᴍᴀᴅᴇ ᴛᴏ ᴡɪᴛʜꜱᴛᴀɴᴅ ᴀ ᴘᴜʟʟ ᴏꜰ 600 ʟʙꜱ, ꜰɪɴᴅ ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏꜰ ᴛʜᴇ ʀᴏᴅ ᴀꜱꜱᴜᴍɪɴɢ ᴀ ꜰᴀᴄᴛᴏʀ ᴏꜰ ꜱᴀꜰᴇᴛʏ ᴏꜰ 5 ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ꜱᴛʀᴇꜱꜱ ᴏꜰ 64,000 ᴘꜱɪ. (Show solution) ᴀ.) 0.705 ʙ.) 0.981 ᴄ.) 0.809 ᴅ.) 0.773Q4 Beta =111 Please provide justified answer asap to get a upvoteThe friction in flows through the pipe is defined by a dimensionless number called the fanning friction factor (f). The Fanning friction factor is represented by another dimensionless number, the Reynolds number (Re).It depends on the diameter of the pipe and some parameters related to the fluid. An equation that can predict f given the Reynolds number is given as follows. If Re =4000, e/D=0.01 in this equation, find the value of f using the Simple Iteration method by taking f0=0.1 as the initial value for the solution (ԑ=0.0001)
- Write a brief (a few sentences) discussion about the significance of each of the following in regards to an iterative CFD solution: (a) initial conditions, (b) residual, (c) iteration, and (d) postprocessing.use an explicit scheme to solve the equation (using concentration C(x,t)). the flow velocity is constant, namely U = 0.5 m/s; channel length 1000 m. Use Δx = 100 m; Δt = 100 seconds. at t=0, the channel's extended concentration is zero (C(x,0) = 0). The boundary conditions at all times at the upstream and downstream ends of the channel are 2 and 0 respectively. The count is carried out until time 5.Which procedure provides a method that may be used to apply Cstigliano's second theorem?