Question: (a) Let S = {($, y) E R2: 132 + y2 = 1} be the unit circle in R2. ls Scompact in R2 under the

(a) Let S = {($, y) E R2: 132 + y2 = 1} be the unit circle in R2. ls Scompact in R2 under the usual 6\" metric? Why? (b) Give an example of a complete metric space (X , d) and a subset A of X , so that A is bounded and closed, but not compact

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