Use the simplex method to solve the following problem. Also verify your an using the dual of the problem: 1. Мах. Z - 40 x + 50x2 s.t. 2x + 3x, 53, 8r + 4x s5 and x, x2 20

Q: Find the approximation to the solution of the system fi(x1, x2) =aj + x1x2 – 10 = 0, - Start with…

A: Given the system f1x1,x2=x12+x1x2-10=0f2x1,x2=x2+3x1x22-57=0 with the initial condition x0=00.6.…

Q: (b) Find the general solution of: = yx² - xy ex

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Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

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Q: 5 Solve the following system of equations using Cramer's rule -3x+2y-6z 6 5x + 7y - Sz = 6 x+ 4y -…

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Q: Solve Cauchy-Euler equation. a2y"-2y 2x %3D

A: (1) The equation is, x2y''-2y=2x Take y=xm Then take the derivative, y'=mxm-1 Take the derivative…

Q: Consider the LP problem below, Max Z = 6x + 7y s.t 3x +y< 6 2 x + 3y < 12 X, y 20. Solve the problem…

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Q: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the…

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Q: Solve the given below using simplex method.      Max.:     P= 32x + 16y +40z      S.t.:     12x +…

A: Here we using simplex method.

Q: Is (2, –1, 3) a solution of 3x + 5y – 2z = -5 2х + Зу- z 3D —2 2x + 4y + 6z 18? Replace x with 2, y…

A: Consider the system of equations. 3x+5y-2z=-52x+3y-z=-22x+4y+6z=18 And, the solution of the system…

Q: Use GAUSS ELIMINATION METHOD WITH 2x -y -67 = -2 %3D X - Sy -7 =-8 4 x ty-Z = 13 To SOLVE PA RTIAL…

A: The given system of equations                                2x-y-6z=-2…

Q: Use the QR factorization to solve the system Ax %3D

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Q: Solve the following LPP using Simplex method.     Max P = 12X + 16Y     Subject to:            10x…

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Q: Find the null space associated with the equations: 2x+z+w = 0 7x-6y-z-w-v= 0 -5x+4y+w = 0 (Needless…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=0 is the matrix A is

Q: find the solution of the following LP problems using simplex and graphical method A - Max z= 30x, +…

A: We have to find the solution of the given linear programming problem in the two variables using the…

Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: 1.) Solve using Gauss-Jordan Elimination. -3x + 2y- 6z = 6 5x+ 7y-5z = 6 x + 4y - 2z= 8

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Q: Solve the linearsystem by GE method X- 2y + 3z =9 --x + 3y = -4 2x 5y + 5z = 17

A: This is the correct answer, verified multiple times.

Q: Solve using Gauss Jordan method. 2x-y+3z=24 2y-z=4 7x-5y=6

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Q: الوضوع Solve by simplex method the following.Linear prablem : Max Z= 2 Xx +3 Xz stabject to: - 1) X,…

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Q: Solve for F(x,y)= 80x+5y2 with the constraint 2x+2y=1.4

A: given function is                              F(x, y)=80x+5y2contraint, 2x+2y=1.4 we have to find…

Q: Find the approximation to the solution of the system fi(x1, 12) =rỉ + 11L2 – 10 = 0, f2(x1, x2) =x2…

A: Given - f1x1, x2 = x12 + x1x2 - 10 = 0f2x1, x2 = x2 + 3x1x22 - 57 = 0 start with x0 = 00.6 To find -…

Q: Q1/ Use the simplex method to Solve the following problem? Max Z= 8 x1 + 10x2 + 7 x3 Subject to: x1…

A: The given problem is a maximization problem. So we first write in the standard form by introducing…

Q: Use simplex method to solve the following system Махітizе Р — 0.5х + Зу + Z Subject to x +y + z < 40…

A: I am substituting  x=x1 , y=x2 and z=x3 and then solving the problem.

Q: Use Cramer's Rule to solve the system.

A: If we have linear system, a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 So using Cramer's rule, x=DxD,…

Q: Solve for the orthogonal traectories y2= 4x²(1- kx) %3D

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Q: 1. Use the simplex method to solve the following problem. Also verify your an using the dual of the…

A: We are not allowed to give handwritten solutions unless and until the question is too complex to…

Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

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Q: Use Cramer's rule to solve the system 2 X + 3Y-Z=10 5X + 2Y + 42Z=8 -x - 5Y + 2Z =4

A: We have a system of equations ,  2x + 3y - z = 105x + 2y + 4z = 8-x - 5y + 2z = 4 The system can be…

Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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Q: What is the general solution of xy^2dx+x^2ydy=0

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Q: Solve the system by Gauss-Jordan Reduction method: 7x — у + 8z 3D 10 x + 4y + 5z = 2 -5x + 2y + 8z =…

A: Given system of equation.7x-y+8z=10x+4y+5z=2-5x+2y+8z=3Write in matrix…

Q: to solve the system 3x+3y=−3 23x+y=1.

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Q: Q1/ Use the simplex method to Solve the following problem? Max Z = 8x1 + 10 x2 +7 x3 Subject to: x1…

A: The given linear programming problem is…

Q: Q 6. Solve the following primal LPP and its dual by simplex method : Max. Z, = 5x1 + 12x2 + 4x3 ,…

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Q: 3. Solve the following LP problem using simplex method: 3 min z = --4 + 20x5 1 + 6x7 s.t. 1 X4 8x5 -…

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Q: 2. Solve the following LPP using Simplex method. Max P 12X + 16Y Subject to: 10x + 20y =0 and Y >= 0

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Q: Solve the given problem: y'' + 4y= 3sin2x

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Q: -Sy, tyz +66at y, = Iz 45.-2y2 -ẻt %3D

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Q: Solve the IVP: ry'- 2ry 10x2, y (0) = 1 Oy- 3e + 222 4 Oy = 6e #= 5z = 5 Oy=-e + 5x + 27 Oy= - 5z -…

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Q: Use Cramer's Rule to solve the system.

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Q: -0.4x2 3.2x2 -2x2 11x3 -0.9x3 2x4 X4 5x4 4x3 10x3 -0.4x4 -6.xs 7x5 4.8x5 6xs 6 = -2 ||||||||| 9 1

A: Given: System of equations -0.4x2+11x3+2x4-6x5=6 3.2x2-0.9x3+x4+7x5=-2 -2x2+4x3+5x4+4.8x5=9…

Q: Solve the system of equations by Cramer's rule: 4x +3y = 2 11x + y+2z = 3 x+5y+2z =1

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Q: Solve the system 2x + 8y - z = 11 5x – y + z = 10 -x +y + 4z = 3 by using Jacobi Method with x° = y°…

A: We have to find the solution of the system by using Jacobi Method.

Q: Use Cramer’s Rule to solve the system.

A: 2x+y=-4y-2z=03x-2z=-11 Here, D=2  1  00  1-23  0-2,  Dx=-4  1   00  1 -2-11  0 -2,  Dy=2  -4  00…

Q: У'-у%35х, у(0) -0, у'(0)-1. – y

A: NOTE: Refresh your page if you can't see any equations. . find roots for the homogeneous system…

Q: Use Cramer's Rule to solve the system.   2x  −  4y  +  z  =  16     7y  −  5z  =  −1…

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Q: 2) For the following LP: min Z = x1 +x3 – 2x4 X1 + 2x2 + x4 = 4 -x2 + x3 - X4 = -1 X1, X2, X3,X4 > 0…

A: The given Linear programming is                       min Z=x1+0.x2+x3-2x4             subject to:…

Q: : Given the equations Зх, — 2х2 + xз --10 2x, + 6x2 – 4x3 = 44 -X1 - 2x2 + 5x3 = -26 %3D Solve by LU…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.