OUESTION NO 33 (Aleshba Shaheen Let A and B be Gooups , Let A'aA and Bla B let A4A and BaB X: A B be normal subgrdups. and let be a homorroy phiem Therk & a (well- defined) homomerphim זסרהטAsm Xa i AlA' BIB given by Xe ų a A'ns ala)B! fo Prove That of ů surfective, then ae us senjective.

Q: Ô https://goformative.com/formatives/60330743bf7e5fd79fe6f606 Q ta 3. In the diagram below, R is…

A: Formula used-  Mid point formula=  (X,y) = ( (X1+X2)/2 ,( y1 +y2)/2 )

Q: u* (B) = inf{l&l:s is a covering of B by closed boxes} for all BcR" صواب İhi

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Q: Let {u, v} be an orthonormal set in R" and let y = v13 u + 6v. Then, y|| is

A: Here, given that u,v are orthonormal. That is: u·u=1, v·v=1, u·v=v·u=0

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Q: Proposition Let (Y,Ty) be a subspace of (X,T) Then each open set in y is open in X if aud if is open…

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Q: Show that every positve colufion at Ay + B, k=osl,2 bounded, %3D JK is i-e, osysB-if A<1. 1-A

A: Question: Objective is to find the upper bound of     yk+1=Ayk+B, k=0,1,2,... where yk is positive.

Q: Find Souution of ODE xy"+y't x²y 20

A: Given, the differential equation                  xy''+y'+x2y=0                 ...(1)

Q: Theorem 23. If u, v E Q then we can find integers a, b, d with d > 0 such that u = a and v = d'…

A: By Division Algorithm we know that,               Let a, b be two integers with b&gt;0. Then there…

Q: uestion 2 ) Wich subspater of M2x2 gre of He following The set oft all 2x2 symmetric matricer ) The…

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Q: find the denivahon of the Runchon bydsing herules ofditkreohe lhon fee) = 7 %3D +260 .3 2.

A: We need to find the derivative of given function. fx=7x3-8x2-1x+250

Q: 13. Which of the following is a subspace of R4? Justify your answer. a) S = {(a,b, c, d) E R* | a…

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Q: Consider the folloning scks V= { 0, t, 2,3 .... 1) s=( 1, 3, 5,7) 10) T=( 2, 4, 6,7,8) (J ,ר,ל ,2 )…

A: We can solve the problem by set operation rule.

Q: Let R (the set of real numbers) be equipped with the Euclidean topology, then A, a finite subset of…

A: Given that R is equipped with the Euclidean topology and A is a finite  subset of R.

Q: Gven KLM A SRQ.nd all pairsof congruent sides and congruent angles Only bpe the e LKL

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Q: Exam Score Data 76 69 90 86 64 75 77 79 70 80 82 62 max eurols) or to rmmue Todmun-ta soube 96 51 76…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: o* = 10 and u = 100 are given to use normalization P(97 sxs 102) calculate. O A) 0,7997 OB) 0,4147…

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Q: 14. Which of the following is a subspace of M2,3? Justify your answer. a C. C a) U = E M2.3 b = ac…

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Q: o? = 4 ve u = 85 are given use normaliza P(84 sxS 93) salculate. OA) 0,6816 OB) 07997 OC) 0,7603 OD)…

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Q: a) z = b" + c B) z = b.u + c

A: Which of the following is the z function in terms of the variable u that needs to be converted to…

Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1

A: Evaluate the iterated double integral.        ∫01∫-33xy2x2+1dydx

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A: To check whether there exists open ball B(a, r) such that B(a, r) ∩ G= ∅, then whether a is not…

Q: Questione Let R=7LO7L. Show that the palynomials (,0)x in R[x] has in finitely many roots.

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Q: Cansider X= {1,2,., 1a0) tagether with the longest 6-algebra PX), (pouwer set of x). Define Mcors…

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Q: 3) Let W = { (x, y, z, t) : x = 0, y = -z } be subset of IR*. Is W a subspace of IR* ?

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Q: let the jonit Pid f. for the random varables X.y given by flx.yj-3x- 8xy+6j,04x<1 ,o2Yel find…

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Q: If w is FALSE, x is FALSE, and y is TRUE, what is ((x OR y) AND (y AND w)') OR (x AND y' AND w')?…

A: The objective of the question is to evaluate the given logical expression using the provided values…

Q: OR SECTION 13.6 1. Let S be a nonempty, closed, convex set in R" that does not contain the origin.…

A: Consider the provided question,   Suppose, S be a non empty, closed, convex set in  that doesn't…

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A: We have to determine the number of units in the given algebraic structure.

Q: 4) Let y = Aigle for i = 1,...,n, f = = Σir xt and y = = Σω a) Show that } = faxy , Σ.,(x − 2) =…

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Q: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

Q: ७) Let యర with Aand be commutetive Xing that that 1of iniby Then Such Poove ২ A.B AnB

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Q: If S is a subset of T , then u* (T) sµ* (S) ylgn C ihi O

A: I will use the definition of measure to answer the question.

Q: Determine Z- Trans furm in cludig vegiva of con vergence in n 7o メ(At n<o

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Q: - LITALY. PULSI (3) Let N be a set of natural numbers and T={Ø,N}U{U; NEN}. Un={0,1,...,n} show that…

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Q: Pidblem 74. Guppose U;Ua-Um are Finíte deningional subspaces prove that U. +hat . OF +Um is definite…

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