Problem 2 Given the following linear programming problem: Maximize Z = 5x1 +6x2 subject to x1 + x2 ≤12 2x1 - X2 ≥4 3x14x2 = 6 X1, X20 (a) Find the optimal solution graphically. (b) Find the optimal solution using the simplex method.
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- Note: Answer All Questions on a) find the domain and range of three function bellow: 1) y =-2+V1- 2) y = In(x-3) +1 3) y = 2 sin(3x +n) +1 4) f(x) = xSolve the following linear programming problem using the simplex method: Maximize Z = 5x + 3y Subject to: 2x + 3y ≤ 10 4x + 2y ≤ 12 x, y≥0b. Find The Fourier series for the function defined by (n + x -n < x < 0 f(x) = {" * * X – 1)
- 5. The command Beam Parallel to is in the menu: a. View b. Tool c. Select 6. Finite Element used to: a. Analyze the indeterminate structure. b. Build the statistical models c. Analyze both the determinate d. Probability problems. and indeterminate structures. 7. Reducing the element size in finite element analysis lead to: a. Convergence results c. Eliminate the errors 8. Staad Pro introduce the lines in DXF file as a. Beam Element c. Plate Element b. Divergence in results d. Geometry requirements b. Surface Element d. Solid Element d. GeometryEVALUATE THE FOLLOWING INTEGRALS ANALYTICALLY SHOW COMPLETE SOLUTIONPlease make sure to draw the graph as well
- Find for f'(x) | f(x) = e* – sin(xx/3) f(x) = x³ – 2x – 2x +1Slove the following equation using grammars rule: X + 2y + Z = 3 2X + y - Z = 0 X - y + Z = 0• Use the definition of Laplace transform to find L{f (t)} for the given f (t). a) f(t) = cos2(t – n) %D b) f(t) = 2 sin 3t cos 3t 2 c) f(t) = sinh t 3
- S:y={ *-1 if x<3 | 2x +1 if 3Test the continuity for the function X+ 2 X< 2 F(x) = X? - 2 2< X < 3d²y 1. Determine the order and degree of the DE x – x² dx, ´dy` — ху %3D 0. dx2 a. second order, first degree b. first order, second degree c. first order, first degree d. second order, second degree dy y 2. What is not true for the differential equation dx ? x2 x2 a. it is linear c. it is separable b. it is homogenous d. it can be solved using an integrating factor exSEE MORE QUESTIONS