In Let x, y ER" be given. (a) If ||x|| = ||y|| = 1 and x - y = 1, show that x = y. (b) If ||x|| ≤ 1 and ||y|| ≤ 1, prove that √1- ||x||²√1- ||y||² ≤ 1 − |x · y|.

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A:

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A: Domain is set of collection of x for which f is defined

Q: Evaluate / dx.

A: To integrate

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A: Solution :-

Q: |u|> c is true for all real numbers if c _ 0.

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Q: 2. Let f(x)=√(x+7) for x≥-7. a) Find f-1(3). b) Let g be a function such that g-1exists for all…

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