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What is the image of a horizontal line

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Reference no: EM13977559

M415 Problem Set 6

  1. Consider the map(z)→(z^2) as a map from C to C.
    1. (a)  What is the image of a horizontal line? Sketch your answers.
    2. (b)  What is the image of a vertical line? Sketch your answers.
    3. (c)  When does the image of a horizontal line degenerate? When does the image of a vertical line degenerate?
    4. (d)  You should have found conic sections for your answers to parts (a) and (b). Find the foci of these conic sections.

Reference no: EM13977559

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