D 3.2-5. Use the graphical method to demonstrate that the fol- lowing model has no feasible solutions. Z = 5x, + 7x2, Maximize subject to 2x, - x2 < - 1 -x, + 2x2 < -1

Q5: Solve the differential equation by using Laplace Transformation method? y" + 2y' + 2y = 5 y(0) = a, y'(0) = b %3D

(k - 1)/k P2 Tds relationship: Tds = dh -vdp. Start from the Tds function, please derive that . Please T1 P1 list clearly the assumptions/conditions applied for the derivation

A square domain is modeled using either one bilinear rectangular element or two linear triangular elements as shown below. a) Determine the system element matrix for the Laplace equation for each discretization. b) Determine the displacement at the center of the domain (0.5,0.5) in terms of the nodal displacement. Hint: You need to assemble the stiffness matrix for the system on the right to form a 4*4 matrix from the two 3*3 element matrices. 1.0 4. 1.0 3. X- 1.0 1.0 2. 2.

4 rad, = 0.5. On the complex plane, draw the root(s) of a 2nd order system with the following characteristics: W₁ = 4 rad

6.2Build code to satisfy, please.

For point a, suggest a different form but the same equation without removing u

Can I please get assistance with the transition from equation (3.49) through equation (3.51)? Step by Step Equation (3.49) is as follows.  (R1+R2) I2 = ec + R1 Iin(t) ***This is an example from my dynamics book and not a homework problem.

D 3.1-5. Use the graphical method to solve the problem: Z = 10x1 + 20x2, Maximize subject to -x1 + 2x2 < 15 X1 + x2 < 12 5x1 + 3x2 < 45 and xị 2 0, X2 2 0.

Insulated Ax h, T» 1 2 3 4 5