Prove the statement, or give a counterexample. a) Every interval of real numbers with usual metric is a complete metric space. b) If real sequence an converges in Euclidean metric, then it converges in Manhattan metric as well.

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A: Kindly refer to Step 2 for the solution.

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Q: non-negative continuous function. 5 п 3 Let f(x), x 20, be a If f'(x) cos x ≤ f(x) sin x, V x ≥ 0,…

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A: R={(a,a),(a,b),(a,c),(a,d),(a,e),(a,f),(b,b),(b,e),(c,c),(c,e),(c,f),(d,e),(d,f),(e,e),(f,f)}.…