Result 14.6 ( ₁² + ²) = lim = ∞0. Proof Let M be a positive number. Choose N = √M and let n be any integer such that 1 n> N. Hence, n > √M and so n²> M. Thus n² + n >n² > M.

Q: Prove that arng Ris Commulative iff Satbj a?+2abt be , VaibER

A: Given : Ring R is commutative iff(a+b)2=a2+2ab+b2

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Q: 4 is this the SAS or SSS theorem?

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A: Let us solve the above problem by using the Cramer's rule.

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Q: = Y, = 1 + + x2 2 → 님s = 1 + +x? dz → Y, = 1 + 24 4 1 → Ys = 1 + 와 24 3

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Q: cantor st :- consider [0,17, Divride fo,1] inte turee eIual Parts 8& middle remove the Open…

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Q: :""n e Z*, if n³ = 3k for some k E Z, then n = 3q for some q E Z." %| %3D

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A: The solution is given as

Q: 印 da Ify - 2e", 5+Inx O a) 1 Ob) 5+-2e " 1. c) 1 2e" d) 1 (pO Oel In(1) - 2e +66 日 F4 F5 F6 F7 F8 F9…

A: Given  y=5+ln(x)-2ex

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Q: 2) Prove balls B, B2, Such thot that there are open V= U B; JEN is implemen ted if V is o pen in R.

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Q: 20 In lit ax x2 Note: wnik your answers with the following funchions as heeded T = pi, JR. sgrt CK)…

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Q: I- (1 – 4 x) Find when a = - 5. 26 O A) O B) – 21 | - 26 O D) - 14 O E) - 5

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Q: Find PBiomedicalltemale which is ceadl "tihe or that the engimeer ?s biomedical enaineer is female."…

A: The data ia given by   Machanical Electrical Biomedical Total Female 7 5 6 18 Male 2 3 7 12…

Q: 2x A In 9

A: here option D is true

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Q: Given: AAFD, AF = FD KE AD , E E AD , AE = DK NK 1 AD , ME 1 AD Prove: KN s ME D K E

A: To prove - the given statement is true.

Q: e some detailed solution and please do not copy other's work,thanks!! 2. Let S S CRN. Show that a(S₁…

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Q: 2 let C be an arbiterery curve from l0,0) to D). (2,4) Evala vute: (3x² oy, x-2)- dio

A: To find the value of the given line integral.

Q: let the following 1.fis biT that F:R7R :ROR

A: A function is said to be a bijection if function is one to one and onto. In this question two…

Q: 2 0 [L] =-2 2- %3D 4 f your results to ([L])" for a pasitive đuestlon : Generalise integer N. Let N…

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Q: (a) Suppose that there are k distinct positive integers that divide an odd positive integer n.…

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Q: proof It d>4 then ImE IN Such that d-4

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Q: Is R reflexive? Symmetric? Anti-symmetric? 1 MR= 1 1 1

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Q: [1 1 0] A =|0 2 1 if A: adj(A)= ? %3D 10 1 O A) A O B) 313 p) -13 OD) -313

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Q: 9. Prove the following statement by contrapositive. "Va, b e Z, if ab is odd, then a is odd and b is…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 9th question.  Please…

Q: / Find Hre dettivative ef Eg if

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Q: Statements Reasons J Given: JK=LK; JMEM Prove : AKJM=A KLM 3)

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Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

Q: Find propositions P(x, y) and Q(x, y) that demonstrate tha (Vxay, P(x, y)) A ay, Q(x,y)) is…

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Q: (1+21)* (4– 31)* (3+ 4i)" (2– j)" 3. Given z = f ind the argument of z. a) –2.035 b) 2.035 c) 2.214…

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Q: nt ASVW G 7 ZTUW + UW + VW + VW U W S Reason Given CPCTC CPCTC CPCTC CPCTC Additive Property of…

A: We will find the required.