Let S1 = {(xy)/ x22y-1), S2 = ((x.y)/ x <3, 15 y 55} and S3 = {(x,y)/ O< x<3, 1Sys5}. Then:O None of S1, S2 and S2 is compact in R.O s2 and Ss3 are compact subspaces of R.O s1 and S2 are compact subspaces of R.O Only $2 is a compact subspace of R.

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Let S1 = {(xy)/ x22y-1), S2 = ((x.y)/ x $3, 15 y 5} and S3 = {(x,y)/ O< x<3, 15ys5}. Then: O None of S1, S2 and S2 is compact in R. O s2 and S3 are compact subspaces of R. O S1 and S2 are compact subspaces of R. O Only S2 is a compact subspace of R.

Let S1 = {(xy)/ x22y-1), S2 = ((x.y)/ x $3, 15 y 5} and S3 = {(x,y)/ O< x<3, 15ys5}. Then: O None of S1, S2 and S2 is compact in R. O s2 and S3 are compact subspaces of R. O S1 and S2 are compact subspaces of R. O Only S2 is a compact subspace of R.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

Let S1 = {(xy)/ x22y-1), S2 = ((x.y)/ x <3, 15 y 55} and S3 = {(x,y)/ O< x<3, 1Sys5}. Then:
O None of S1, S2 and S2 is compact in R.
O s2 and Ss3 are compact subspaces of R.
O s1 and S2 are compact subspaces of R.
O Only $2 is a compact subspace of R.

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