Give the value of c in the interval [0,2] that satisfies the conclusion of the mean value theorem for a) b) O- d) e) 0

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Q: Show that the subset of R2 given by {(x, y) E R² : xy = 1, x > 0} is closed.

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Q: If E and E, are measurable , then (E,UE,) is not measurable. ylgn

A: False.

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Q: 5. Use the Mean Value Theorem to establish the following inequality |cos r- cos y < |r – yl, for 1,…

A: According to the guideline we should have been able to solve only first one question at a time

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Q: (a, b) is measurable. ulgn O ihi O

A: I will use the definition of measurable set.

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Q: let A Set bounded below, ילC erove that C. nf A inf C A %3D

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Q: (b) Using Venn Diagram to prove that (A U B)e = A° N B° ?

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A: This is a problem of the calculus of several variables, higher dimensional calculus.

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Q: (b) Let (X, >, ) be a measure space. For A, Be ). Show that μ(AU B ) - μ(Α) + μ(Β) -μ(An ). %3D

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Q: . Prove with the usual notations that: (b) A +V =- (c) A= SEŽ (a) EV = VE = A

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the gi does not exist,…

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Q: Consider a S = {x|x"=1} is S, equals to S?

A: