Show that both R and R² may be covered by countably many open balls.

Q: List all the subsets of {x, y, z, y}.

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Q: Prove that 1 1 16 ≤ (a+b+c+d) = + = + b + ax (²=²+ + + + + + + ² + 1 = 0) d for all positive numbers…

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Q: +5v

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Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

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Q: 5. Find LU Factorizatioon of A = [5 2 1 1 3 2 7 1 2 3 2 1- Show the work!

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Q: 16) fueluete Sx Jx+3dx 4) 리/5(x+3)기2 -2(x+3)12+c 6) /5(x+3}51z . "/s (X+3)"z + C XJX+3 dx S/2 312 6)…

A: The given integral is ∫xx+3dx.

Q: Evaluate. 1) [(6x²+1) dx A) x + C B) 12x + C C) 2x3 + C D) 2x3 + x + C 1)

A: according to bartleby guide line we do only first part of multiple questions.please re-post other…

Q: f U1 and U2 are both upper triangular matrices, and L1 and L2 are lower triangular which of the…

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Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?