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Determine the image of d under the mapping

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Reference no: EM131595061

Question: Let D consist of all z in the rectangle having vertices ± α i and π ± α i, with α a positive number.

(a) Determine the image of D under the mapping w = cos(z). Sketch D and its image.

(b) Determine the image of D under the mapping w = sin(z). Sketch this image.

(c) Determine the image of D under the mapping w = 2z2. Sketch this image.

Reference no: EM131595061

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