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Consider the function f(z) = (4x2 + 2xy) +i(x2 - y2 + Axy) where z = x + iy E C and A is some
Consider the function f(z) = (4x2 + 2xy) +i(x2 - y2 + Axy) where z = x + iy E C and A is some real constant. (a) (5 points) Given that the function is C-differentiable at x + iy = 1 - i, what must A be? (b) (3 points) Using the A you found in part (a), find all the points where f is C-differentiable. (c) (2 points) Where is f analytic? Briefly explain your
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