An open-top box is to be constructed from a sheet of tin that measures 36inches by 22 inches by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box. Step 1 of 2: Write V(x)as a product of linear factors. Step 2 of 2:Among the values of x for which V(x)=0, which are physically possible?

Q: Use the simplex method to solve the problem. Maximize Z= 2x1 - 4x2 X1 +x2 s 24 5x, + 3x2 2 90…

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Q: Solve graphically the dual of the LLP Minimise: z=4w; +6w,+5w,-W4 Sub. to w, +w,23 W, +W; –W42-2…

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Q: (b) Find n Σx, ΣΥ, Σχ, (Σ ), and Σχy. Σχ %3D Ey Ex2 %3D (Ex)2 %3D Exy %3D (c) Find a, the slope of…

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Q: 2. Determine, algebraically, the point(s) of intersection of the linear-quadratic system f(x) = 3x +…

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Q: Consider the LP model below. Use Branch and Bound to find the optimal solution. Маx z = 2x1 + x2 %3D…

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Q: Solve the following LPP by graphical and simplex method. Maximise Z = 8Xı +16X2 Subject to Xi +X2<…

A: max Z=8x+16ysuch that x+y≤282y≤2073x+6y≤982 in equation           equation                   points…

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A: System of linear equation.

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A: make a table the height of the box is x length and width is 18-2x height x length and width…

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Q: Solve this mathematical models Max Z = 8xl +5x2 S.t. 2x1 by graph method: < 100 M 240 700 +x2 3x1 +…

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Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: Q2 // Calculate x1,X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2 +…

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Q: Consider the simplex tableau given below. X1 X2 S1 S2 S3 5 1 4 1 3 1 10 2 1 4 - 6 - 2 5 (A) The…

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Q: ) Find the points of intersection between −4x − 8y = 2 and 2x = 8 − 4y. b) Find the points of…

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A: Topic :- Equations

Q: BV St P X, X2 X3 S, 8 2 2 10 Const. 32 30 40 2 8. -5-3-2

A: Given the following tableau: BV P X1 X2 X3 S1 S2 S3 const S1 0 8  2  2 1 0 0 32 S2 0 10 6 4 0…

Q: Xk Ук Find the least-square line y = a + ax for the data. -4 -1 0 2 3 0 2 -1 3 -2

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Q: Question No. 2, Part (B) Determine, (i) whether the variables are separable and (ii) whether the…

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Q: the Wronskian of the set of functions: 3x² - 1, x⁴ - 2, 2x⁵ + 3 is equal to 4x³ (9x⁵ - 10x³ + 90x +…

A: In the given question,    It is given that wronskian of  {3 x2 -1, x4 -2 , 2x5 +3}  is { 4x3 (9x5…

Q: 7 1*11 X2 --2 -4 7 8. |-9 |-4 10 -6 12 9 -12||X3 -11] Lx4 9. -5 8 -12 -8 -3. ||

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Q: B. C. = X %3D Find x and mZBDC. 6. MZADC = 116°, m2 ADB = x, m² BDC is 3 times bigger than mZ ADB.…

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Q: Q2 // Calculate X1, X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2…

A: Gauss Elimination Method: The Gaussian elimination method is known as the row reduction algorithm…

Q: Minimize the function f(x1, x2 ) = x21 + x22 when subject to the constraint x41 + x42 =1

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Q: Consider the simplex tableau given below. X1 X2 s1 $2 S3 2 1 3 2 1 8 2 1 4 - 4 - 1 1 4. (A) The…

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Q: Construct a linear system of equations to determine a quadratic polynomial p(x) = ax^2 + bx + c that…

A: Given f (x) = e^2x quadratic polynomial interpolates  f(x)   p(x) = a x2 + b x + csince p(0) = f(0)…

Q: Solve graphically the dual of the LLP Minimise: z=4w; +6w,+5w,-W4 Sub. to w, +w, 23 W; +w, –w,2-2…

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Q: 11 Find the equation of the line passing through the points (2, 2) such that the sum of its…

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Q: If the characteristic polynomial of the system X' = AX is given by P(r) = (r+1)(r– 1). Then 24? –I…

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Q: When does Gauss elimination fail? a. when two of the pivots are zero b. when anyone of the pivots is…

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Q: Find P, L, U, X₁, X₂ and x, for the following problem. Label your answers Solve X1 2 3][8][3] x2 X3…

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Q: Sohe the folloefing Systems FxP dt = 2xg-5x2-cost %3D d×2ニx-2x2++uRn+ by usina the mettpd of…

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Q: Adgube 5 X++ (-1* - 1) \ a) li) X7 X1 X2 5+2 X2 Xx + S x² X2 2x1 + JE Xz tX3 Xq - (-+") xx Is {…

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Q: Part 3. Use separation of variables to obtain a product solution to the following: ²u ²u + əy² əx² =…

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Q: 3 x + 2 1 x - 1 x +3 A = 3 4 a1,2 + a3,3 Mat x =?

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Q: Find the pivot in the simplex tableau. X1 X2 X3 S1 $2 53 2. 1. 2. 5. 2 1 8. 2 d 20 1. a 14 d 16 1 24…

A: Given

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Q: Find the set of solutions for the given linear: -9x1 + X2 + 9X3 = 1 5x3 + X4 = -3 - (X1, X2, X3, X4)…

A: Consider the following system -9x1+x2+9x3=1          .....(1)       -5x3+x4=-3       .....(2)

Q: Q2 // Calculate x1,X2,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + X2 +…

A: Given:         3x1+x2+x3=-8         2x1-3x2-2x3=-5          7x1+x2-x3=0 Converting given equations…

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A: If the characteristic polynomial of the system X'=AX is given by P(r)=r+1r-1. Then,  Find the value…

Q: 1. Is L = {1 − 2x + 3x^2, x − 2x^2, 2 − 5x + 8x^2} linearly independent? If yes, show why. If not,…

A: Given:

Q: b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit…

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Q: Consider the linear application application "(ar³ + bx² + cr + d) = 3ax² + 2bx+c. T: R₂[1] → R₂[1]…

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Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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