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GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper

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Question : 33

Total: 65

The value of k that makes the complex-valued function
𝑓(𝑧) = 𝑒−𝑘𝑥 (cos 2𝑦 − 𝑖 sin 2𝑦)
analytic, where 𝑧 = 𝑥 + 𝑖𝑦, is _________.
(Answer in integer)

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