3. Let z = x + iy. Prove that the function f (z) = e-* sin y – 10 + ie-* cos y is analytic in C AND find f' (πί).

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A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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Q: Find a function f such that ∇f = ex cos yi − ex sin yj + zk.

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