Let A= {(x, y) E R × R; 0 < 1 < 1}, then: O A is compact in R. A is not compact because it is not bounded in R. A is not compact because it is not closed in R. O None of the choices

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Q: 5. Let V be an inner product space over C. Show that for any v, w e V (v, (v, w)w) = | (v, w) |² and…

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A: Consider, I=A⊂X : Ac is countable ∪ϕSince,Xc=ϕ is countable, X∈I Also given, ϕ∈I Assume, Aii∈N∈I…

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A: Heine-Borel Theorem : If a set S of real numbers is closed and bounded, then the set S is compact.…

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A: As per the question we are given the following bivariate function : x2 + xy + 3y2 = 3 And a set H is…

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Q: sketch the set {z ∈ C : Re(z) = Im(z + 2 + i)}

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Q: let P be the linear space of all polynomials of degree A. 1 B.n-1 C.n+1 D. n. E. None of the above

A: Let Pn the linear space of all polynomials degree less than or equal to n .