[B] Find the dual for the following linear programming problem: (i) Maximize Z = 3x + 4y + 5z Subject to: x + 2y + z < 10 7x + 3y + 9z < 12 X, y, z > 0.

Q: 1.37] Consider the following problem: Мaximize subject to 3x1 -X1 -2x1 + 6x2 + 2x2 < 2 + X1 X1, 2x2…

A: 1st we will draw graphs for constraints and then use corner points method to find optimal solution…

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Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 |f(x) 10 17 22

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Q: siven: ALMN; mLL > m2N rove: MN > TM

A: We have to prove that one side is greater than other side in given triangle.

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

Q: Q1) Solve

A: We solve given PDE by direct integration method.

Q: Solve by using the method of Laplace transforms: y" + 9y = 2x + 4; y(0) = 0; y'(0) = 1

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Q: 4x2 Let S be the surface with equation y = + 2². 9 (a) Write the equation of the traces of S on the…

A: (a) The equation of the surface given is as follows: y=4x29+z2 The equation of the trace of the…

Q: 1 n=1 n' + 8 n + 1 n/n

A:

Q: 1. 2– 2y + 2z = 3r – 2y + 2z = 3 2x – 3y – z = –72x – 3y – z = - 7 -x + 3y – 3z = –4-x+ 3y – 3z = –…

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Q: Find the value of each of the following determinants: |1 2 3 4 || 2 3 4 2 1 21 4 3 (a) 3 4 2 1 4 3…

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Q: Determine whether or not the following matrix A is diagonalizable. Be 5 0 0 () are to explain all of…

A: We have given a matrix ,  A = 500-221002 Matrix A  can be diagonalized if there exists an invertible…

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Q: 4] Find and solve the value of X in the equation: 5cosX = 4 - X3

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Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

Q: Use the above formula to write each of the following limits as an integral (a) (b) Lm=0 nm-1 lim

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A: To find the dimensions that will minimize the cost of constructing the box. Let x be the width, y be…

Q: 1. Represent the following equation in R² by a vector-valued/parametric equations: 2x? + 2y? – 2x +…

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Q: 2) Consider the function g defined by glx, y) • cos (TxJy)+ log3 (x-y) la) determine дудх

A: Consider the function defined…

Q: 4. Determine wether. the semies.Converyes.cor... diverges. K.. CeJ Cn) 3n +1 ... n4 13n-2

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Q: Exercises 1. If X1, X2,..,Xn constitute a random sample from a population with the mean u, what…

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Q: Solve the system of linear equations using iterative methods 6x1 + 2x2 + X3 = 26 2x1 + 8x2 - 2x3 =…

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Q: Let a +b = 4, where a 0 for all x, prove that g(x) dr + g(x) dx increases as (b- a) increases.

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Q: (1 2 3 4 O = (3 ).r = G 2 3 4 5 6) 5) 1 4 5 6 2 2 4 1 3 6 1 3 4 5 5 2 4 3 1 6 Find the orbit of 1…

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Q: Assume that the number of barbeque dinners that can be sold, x can be related to the price charged,…

A: Introduction: When there are some outputs that are produced, the total cost to produce these outputs…

Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler method, numerical solution of the differential equation

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

A: We will find equation of boundary lines of triangle and then shade the region . Then rotate region…

Q: d - 1 Use -f'(x) = to find the derivative of the inverse at the indicated point. dx - 1 Let f(x) = -…

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Q: Q2: Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: Given: fx=x-0.5-2-2x To find: Root of the function

Q: 25. (i) Calculate the determinant of thenxn matrix (1 1 1 ... 1 1\ 1 0 1 ... 1 1 1 1 0 1 1 ... A = 1…

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Q: matrices over K. For each j, 1 <j<n, the function E defined by

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Q: Find the inverse Laplace transform of each of the following: s+1 (a) Y(s) = s2 +5s+4 1 (b) Y(s) = -…

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Q: You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound…

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Q: 6. Let A be an n x n hermitian matrix, i.e. A = A*. Assume that all n eigenvalues are different.…

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Q: 2. (a) Evaluate 7n+1 +2" i. lim N; n-00 7" – 2n | ii. lim Vn2 + 3n – Vn2 – 3n |, n € N, n > 3. n-00

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Q: • Consider the fiunction g defined by glx, y)> cos (7x y)+ logs (x-y) la) determine dydx

A: The function in the form z=g(x,y) is called a multivariable function. The output of the function…

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. dx…

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Q: 1. Use the linearity of property of Laplace transforms and the table of Laplace transforms on MyUni…

A: Solution

Q: +)Use the improved Method Selvelue:. ノ

A: The given differential equation is                                                 y'=1+1xy, y1=e…

Q: theorem/ Letxis Hilbert Sface and T, SEBCK),26F then D Pracf %3D 3.

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Q: 10. (. A is the relation defined on Z as follows: for all x, y € Z, x Ay = x=y (mod 3). Describe the…

A: Given : A is the relation defined on ℤ as-               xAy ⇔ x=y mod 3  for all x, y ∈ ℤ. To find…

Q: 2. Solve the optimal control problem max { J(u): = [ (3e(t) – 2u(t)dt> subject to the dy- 2u(t))dt >…

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Q: Prove that L(f) ≤ 0 ≤ U(f). Given that the bounded function f : [a, b] → R has the property that…

A: Given that the bounded function f : [a, b] → R has the property that f(x) = 0 for all x ∈ [a, b] ∩…

Q: Find the equation for the plane through the points Po(5, - 4, - 4), Qo(2,0. – 2), and Ro(4,1, – 2).…

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Q: Matrix C and vector b are given below. 1] 0 2 -3 4 -1 1 C = 1 b = -1

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Q: Consider the group D4

A: Given: Group D4=a,b=e=1,a,a2,a3,b,ab,a2b,a3b and a=1 2 3 4, b= 2, 4 To find : The value of…