8) Consider the function f(z) given by f(2)= 24-2 cos 20z² + 1. (a) Show that f(z) has zeros at eie, e-i, -eie and -e-ie.

Q: u(x, y) = -e sinx - 2e* siny. Find a harmonic conjugate v of u, namely a function v such that the…

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Q: -1 What is the range of the function y = cos ( +1)? 이[-2,이 O [0, T| T o (0, 7)

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Q: (16) Show that: (1) The function f(z) is continuous in all complex plane. (2) (-1+i)-8(1+i).

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Q: 25. Find the harmonic conjugate of u = In|z| and corresponding analytic function f (z) = u + iv.

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Q: v=e2r-y cos (y– 2x) Obtain the value of of the relation дхду A 8e2r-y sin (y– 2x) B - 6e2 -y cos(y–…

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A: Harmonic function: A two variable function ux, y is said to be harmonic, if the function is twice…

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Q: u(x, y) = -e sin x - 2e* siny. Find a harmonic conjugate v of u, namely a function v such that the…

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Q: What is the range of f(r) = cos(x)? i) [–1, 1] ii) [0, 1] iii) (-∞, ∞) O i O i

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Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If…

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Q: y), the harmonic conjugate of u. Form the

A: A function u (x, y) is said to be a harmonic function if u _x x + u_ y y = 0.

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