-Re call, Ac (Xicd) AB .bounded if JxcX,ryo Sucb that Ac BCX) A B(メイ) property (Xdl) methic space AcX, A Compact insX, JaJ → bounded A is prof. in (X,d) Hint: tette x crbitrary in X Idnd BX,n).n=1, 2,3. open Cover of X A Compuct Conclude # Show

Q: Y Cn) be defined recursively by Let YCO) = 3, Y (1)=4 and Ycn) =3Y(a-1) – 2 Y(n-2) Ynz2. Y (n)= 2^+2…

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Q: lim (Vx + 45 V:

A: Given,          limx→∞x+45-x

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Q: Define fi z-> 2 xZ by Ala)l (2,72t1) if xis even 18,0) if t is odd a) Is f injective 2? b) Is f…

A: We have f:Z→z×z Such that fx=x,x+1     if x is evenx,0          if x is odd

Q: ) Every continuous map RP2 → S² is homotopic to the constant map.

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Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: (a) A¹\{1} (b) V(x+x) CA² (c) V(x2-x7,x3-x})\{0} CA³

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

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Q: let (2, m) be a meesurable space. then 1f f9: x LJare measural ble function, then -> ) f43 is mea…

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Q: Shows that the pair are not equivalent in FOL.  ¬∀x∀yB(x,y), ¬∃x∃yB(x,y) Show through specifying a…

A: To show that the given pair of formulas are not equivalent in First-Order Logic (FOL), we need to…

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Q: 55 30 50 15 2 Speed of Highway Drivers 60 50 40 30 20 10 50 55 60 65 70 75 80 85 Speed (in mph) a.…

A: The graph of number of drivers against speed is given.

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.