Question

Q. 6. If u = (x - 1)2 - 3xy2 + 3y2, determine v so that u + iv is a
regular function of x + iy.
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Answer 1

Answer:

Step-by-step explanation:

pm+1(z)=(z - zm+1)pm(z) and p/ m+1(z)=(z - zm+1)p/ m(z) + pm(z) so that p/ m+1(z) ... the paper. Let f(z) = u(x, y) + iv(x, y) where z = x + iy with x, y, u, v ∈ R. ... By using the Cauchy Riemann equations, or otherwise, determine if the following ... (b) g = u+iv with u = y3 -3x2y+2xy+2x2 -2y2 and v = x3 -3xy2 +4xy-x2 +y2. ∂u.

Answer 2

Answer:

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