(b): Find the values of V10 (Vab) (1): (a² + b²), (2): and (3): ab(a² + b²) by using fomulas if V5 10 a + b = 2 and - (-a+b) = v0 +1- V110 – 10 %3D | |

Q: For back substitution with a band matrix (width w ), show that the number of multiplications to…

A:

Q: Use two-phase simplex Method to solve the following LP Minimize            z= 6 x1 + 3 x2 Subject…

A: We need to solve the following LP problem using two phase simplex method. MIN Z = 6x1 + 3x2subject…

Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

A:

Q: Given the LP Model Minimize: z = x - y subject to: 4x – 3y 20 - 3x – 4y < 0 X, y 2 0

A: We will obtain the solution of the LP model using simplex method (Big M) Our Problem is  : MIN Z = x…

Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

Q: Use Newton's method with x = 0 to compute x 2) for the following nonlinear systems. %3D X1 (1– x)) +…

A: The solution to the nonlinear system can be calculated using Newton's method. The formula for the…

Q: Maximize p = 7x + 5y + 6z subject to x + y - z s 12 x + 2y + z s 32 x + y s 20 x 2 0, y 2 0, z 2 0.…

A:

Q: 3. By the method of least squares, fit a curve of the form y = ax + bx2 to the points: -1 1 2 3 y -3…

A: We need to fit a curve of the form y =ax +bx2  So we can use  ∑i=1nxiyi=a∑i=1nxi2+b∑i=1nxi3…

Q: Let x be the solution to the linear least square problem Ax b, where, 1 1 A = 1 2 3 [1 duel

A: According to the least square method , PART A As all the residuals are positive so the curve can be…

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

A:

Q: 1. What is Lagrange multipliers? 2. Use Lagrange multipliers to find the maximum value of f(x,y) =…

A: Method of Lagrange Multipliers:

Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y) = 4x² + 2y² +…

A: We have to find  the critical points and the relative extrema.

Q: Solve  max f( x,y , z) 3x2+y problem by means of Lagrange multipliers under the constraints of…

A:

Q: Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint…

A: (a)

Q: nd the first component (x, (2) ) of second iteration of the Gauss - Seidel method for the llowing…

A:

Q: Maximize p = 14x + 10y + 12z subject to x + y - z3 3 x + 2y + z s 8 x + y < 5 x2 0, y 2 0, z 20. p =…

A: Given problem is MAX  p = 14x + 10y + 12zsubject tox + y - z ≤ 3x + 2y + z ≤ 8x + y ≤ 5x≥0, y≥0, z≥0…

Q: A firm has two plants, X and Y. Suppose that the cost of producing x units at plant X is x^2 + 12000…

A:

Q: The solution to the problem. =b, max f(x, X2. Xg)=x, + Xg subject to for b, =1 and by =2 is (k,X)=2,…

A: Given- The solution to the problem  max fx1, x2, x3 = x1 + x3subject tox12 + x22 = b1x1 + x2 + ex3 =…

Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: b. Minimize f(x, y, z) = xyz subject to the constraints x² + y² = 0 and x – z = 0, by using The…

A:

Q: (d) Fourth-order Runge-Kutta (RK) method with h = 0.5.

A:

Q: A consumer has $280 to spend on two commodities, the first of which costs $2 per unit and the second…

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Q: Consider a k-variables linear regression model, i.e., Y = X 1β1 + X 2 β2 + ε, Where, X1 is (N . k1…

A: The regression analysis is a statistical procedure that allow us to find the linear association…

Q: What is the difference between Gaussian elimination and Gauss-Jordan elimination?

A: We have to find  the difference between Gaussian elimination and Gauss-Jordan elimination.

Q: O Sobve the eava tíon X-6 上3 X-4 2x-1 243 4 Kt6 3. 2X-3 V-3 X-3 3D0 X+A 4 Xt6 -3 X-h 3.

A: This question can be solved using properties of determinant.

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: Q1. Which equation can show the "linearity" of Ordinary Least Square (OLS) assumption? A) Y=B1 +…

A: A linear regression equation only sums the terms in the model while the model must be linear in the…

Q: Consider the following linear fractional program (LFP): 10r1 + 20r2 + 10 3r1 + 4r2 + 20 max f(r1,…

A: Linear programming is a mathematical technique to solve optimization problems. Based on the…

Q: JACEM makes and sells two competing products, burgers and pizza, that Cost $C, and $C, per unit,…

A: Given that cost of burger and pizza is  and respectively. then the Total cost function for  units…

Q: 5. Use the method of Lagrange multipliers to minimize f (x, y) = x2 + y? subject to 2x + 8y 102.…

A: The given question is related with Lagrange multipliers . We have to minimize fx , y = x2 + y2…

Q: a) Determine the real root of f(x) = 4x° – 6x²+ 7x -2.3 graphically. b) What will happen if partial…

A: Partial pivoting:  The process of partial pivoting involves the selection of largest absolute value…

Q: Minimize f(x,y,z)=xyz subject to constraints x^2+y^2=0 and x_z=0, by using the method of Lagrange…

A: To minimize the function fx,y,z=xyzsubject to x2+y2=0  .........(1)x-z=0  ................(2)Let…

Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: ECNII3 - Mathematical Economics 1. Given the profit function n= 160x -3x-2xy-2y+ 120y- IN for a firm…

A: Given

Q: A function, z = ax + by, is to be optimised subject to the constraint, r + y = 1 where a and b are…

A: Given that the function to be optimised is z=ax+by subject to the constraint x2+y2=1 where a and b…

Q: Maximize p = 5x – 4y + 3z subject to 2x + 2z s 100 5y - 5zs 50 2x 5y s 50 x 2 0, y 2 0, z z 0. (x,…

A: Given problem: Max p=5x-4y+3z subject to 2x+2z≤1005y-5z≤502x-5y≤50x≥0, y≥0, z≥0 By introducing slack…

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

A:

Q: Maximize p = 3x + 4y + 2z subject to y + zs 5 x + 2y + zS 5 y + zs 4 x 2 0, y 2 0, z 2 0. Зх + x + p…

A: Query is to maximize p=3x+4y+2zsubject to3x+y+z≤5x+2y+z≤5  x+y+z≤5x, y, z≥0

Q: [ 1 near function L : R? - R? with the corresponding matrix A

A: we have been given a matrix A such as A=1120 Let the vectors to be multiplied by A will be xy

Q: b. verify your answer with Gauss Elimination Method.

A: Given system of linear equation is x-2y+z=2bx+ay=3-2y+z=-4 in the matrix form we can write it as…

Q: gauss seidel method : 10x -2y + z = 12 , x +9y - z = 10 , 2x - y + 11z = 20

A: Given linear system of equation is: 10x -2y + z = 12x +9y - z = 10 2x - y + 11z = 20 Let us assume…

Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

Q: 1 2. + (2 + (3 1. -1 + C3 टं

A: Given, x=c1+c3                              ...(1)y=2c1+c2+c3                    ...(2)z=-c2+2c3…

Q: 32. Minimize and maximize MAM P = -x + 3y subject to 2r - y24 -x+ 2y < 4 yS6 x, y 20

A:

Q: Use the Newton Raphson Method with X©)=[-1 -2 1]T to approximate the solution to the given nonlinear…

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Q: Maximize P = 2x + 6y subject to x + 2y s 8 2x + ys 10 x, y 2 )

A: