4. If A is a 4x4matrix and det A=2 , then det(34)is equal to (a) (b) 162 (c) 48

Q: Consider the LP problem below: Max P= 12x + 10y Subject to: 4x+3y =0 Which of the following is not…

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Q: Express K#S^2#T#2P as a connected sum of projective planes or as a connected sum of tori.

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Q: В. Let a %3 -в -2 1, Find a value for k so that the dot product of a with = Lk 1 4]is zero.

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Q: Q2/ fincd lachre trans form for at X- 3x+2X=lee

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Q: 2. Solve the following Cauchy problem: Uu = Uzz -0 0, u(x,0) = x – a², u(x,0) = 4x, -00 <x < 0. %3D

A:

Q: 1. Using the first prine =) , show that (1 – x*) + 4nxy = 0. %3D 2. If y = 1+x2, + qx2+rx +s passes…

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A: Please refer to the image below

Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

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Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

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Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

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Q: 4- Find the particular solution for: 3x²y' = 5x – 6xy, x = 2 when y = 1 %3D

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Q: Let y"+ 6y'– 16y = 0, show that: %3D y = 2e-8x is a particular/exact solution. %3D

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A:

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

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Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

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Q: 4. Show that 4=3y'z² ¿+4x²:* j+6x°y'% is solenoidal.

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Q: A second solution y2 for the DE x²y" – 4xy' + 6y = 0, can be obtained by reduction of order with the…

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Q: Show that y = - In x + 3x - 5 is a solution of y" -=0. Use y = - Inx+3x – 5 to find y' and y". y' =O

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Q: Solve the following Cauchy problem: -00 0, u(r,0) =r-r, (x,0) 4r, -x <r<x.

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Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

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Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: Find the general soladtion of y+5y'=5

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Q: Find the clomain for the following funclions:- -y=2X (x+11 b-ys a - ৮-9 (3-X) C. y= Jx +4

A: We find domain of following function

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Q: 15. If mOT = (27x + 3)', mRT = (9x - 5)° and MZRST = (10x – 2)°, find mRT. %3D %3D R S.

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Q: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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Q: 5-Vx+25 limr→0

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Q: 1 Solve 1 3D7 for z. y. 1-

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Q: 4) Prove that y = x-3/2 is a solution to 4x2y" + 12xy' + 3y = 0.

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Q: 1. Use substitution technique to show that ++x+2+x- v2 +C dr 1 In rV+r+2 +x+2+r+ V2

A: As per our guidelines we are supposed to answer only one question that is the first question. For…

Q: 3a Show that the method xn+1 = Xn 6+ Xn ,converage to vā. %3D a

A: