The function u (x, y) = x² – y² – y. Find its conjugate v(x,y) if possible. O None of the above O Not possible O 2xy+x+C Ox^2+y^2+y+C Ox^2+y^2+y+C O 2xy-x+C

Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

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A: Use partial fractions

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Integrate the function. 16x +즐 + C V16 -2 8 sin 1 +C 2 V16-2 +C + 16V16 - x2 8x - W16-2 +C

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Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

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Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

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Q: 2. In y = c+ C2*

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Q: Vxdx 2. For J T-Vx use 4 O u = JA u = x O u = Ja

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Q: If x and y are both less then 0 and xy

A: Given, x and y are less than 0. Then xy = ?

Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

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Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: ++ Q Find Lt

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Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x>0, r>0, λ>0 Y~Gammas,λ fy=λsΓse-λyys-1,     y>0,…

Q: 1, cosX, cos 2X,--- , cos mx

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Q: |2/2a| dx -1

A: Ans= 5✓2 =7.071 Just go ro srep by step calculation....you get it easily....go through the solution

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: (a) Z₁Z2. (b) Let z1 = 3+2i and z₂ = -2-i. Evaluate

A: Topic = Complex number