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Exercise 5-4 Verify the following functions f(z) are analytic for all z = x +iy. Use the Cauchy- Riemann conditions (Hint: find a way to

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Exercise 5-4 Verify the following functions f(z) are analytic for all z = x +iy. Use the Cauchy- Riemann conditions (Hint: find a way to express these functions as f(z) = u(x, y) + iv(x, y)). (a) f(z) = ez (b) f(z) = cos(z)

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