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1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is...

1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is uniformly continuous on the disk {z : |z| < 2}.

2. Describe the image of the circle |z-3| = 1 under the mapping w = f(z) = 5-2z. Be sure to show that your description is correct.

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