Show that u (x, y) is harmonic in some domain and |find a harmonic conjugate v(x, y) when y (a) u(x, y) = 2x -x³ +3xy²; (b) u(x, y) = sinh x sin y; (c) u(x, y) = x² + y2 °

Q: Find all harmonic conjugates of u(x, y) = x³ - 3xy² + 2y.

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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A: Part (a):Given:

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Q: Find the tangential and normal components.  r(t)=(t+1)i+2tj+t^ 2 × k     ,   t = 1

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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Q: I need the answer as soon as possible

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A: Solution:

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Q: find the derivatives complex funcation. {tanh¬'(iz +2)}-1,

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Q: Q2) For the functions U (x,y)=2x(1-y) and V (x,y) = xy a) Prove that the functions are harmonic. b)…

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