21. Let (gn) be a sequence of Riemann integrable functions from [0, 1] into R such that |gn (x)| ≤ 1 for all n, x. Define = f₁" Bu (0) Gn(x) = ܘܢ 8n (1) dt.

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A: We have to find the derivative.

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A: Given that f:ℝ→ℝ be a one to one differentiable function where f0=4,f'0=-1,f6=5 and f'6=2 (a) Let,…

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Q: 11. The function f(x) is defined on [1, o0) and satisfies VTO dt. 10 Find f(x).

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Q: Let f(x) be a twice differentiable function on (-o, 0) such that f"(x) is continuous on (-0, 00).…

A: Solution is in next step

Q: Is g(x) = ln( x2+2 ) uniformly continuous on the interval (−∞,∞)?

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Q: (3) Let f : R –→ R be a differentiable function everywhere. Prove that if f (x) = 0 has n solutions,…

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