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Q: 29. Compute det B, where B = 1 2 2

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Q: 37.) Show all step to evaluate: SN NS /3-y² /3-y² dzdxdy

A: We have to find the value

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A: As per guidelines we have to solve only one question

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A: w=5 ln(7r+8)

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Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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Q: Show theit the fenias +- (AtI)(28+1) (P+1)(2p41)(38+1) (uhese a>0, B>0) conveages if B>a amd…

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A: G(x)=1f-1(x)f(3)=2 , f'(3)=1/9

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Q: - Let X1, X2, ...,Xn~N(0,0) and T = Fi (T),Var(T)

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Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: norn rmed M Y is closed if and only if the

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Q: 2 Find z. TVans form afthe f.llowing (a) {finwns

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Q: determine if the series is absolutely convergent, conditionally convergent, or divergent.

A: Consider the given series

Q: Jin Let G beagreupsuch that I6tefs thens

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Q: 1- Two vecters n'and mª anl Said to be orthogenal if n'entzo T b. F a.

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Q: (c) Show that a permutation o E S, commutes with r if and only if the permu- tation f(o) commutes…

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Q: e null and altermative hypothesis would be: • Ho:p 0.7 H:p 0.7 O Ho:p2 0.7 H:p 0.7

A: The null and alternative hypotheses are: Ho: p = 0.70Ho:p=0.70 Ha: p =\not 0.70Ha:p≠​0.70 This…

Q: followinp serves Dedermine is he conditionelly , I converye your work ond justify your absdlutely…

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Q: locally Lipschitz in (t,x)E[a, b]x D.

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Q: 4) Which of the following foumulas does not Kold for all x, we CZ O la wl= |2). Iw). (6) X W = ņ. W.…

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Q: the lo04dinater Y the (entre the Lomic 412 -130 ax- + I16 a 60 ay Heduled il lo the and chente…

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Q: Let D={(txy.2) : x²ny2sz²s 324, z2 Evaluate z dv.

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Q: 4 Let X,) be a pankizlly oadered e For x,y € X deftre xLy eff x sy and x#y. Pucose the Fallowiag:…

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Q: 6. Given: 21 and 22 are complementary Prove: SX 1 WX S. 2,

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Q: Suppose T: R + P, has an action on a

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Q: Show that 2"=nCk and 0 = [(-1)^nck k=0 HINT: Consider(1-1)" and (1+1)" k=0

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Q: -27 -36 81 onstruct it in R. 37, 65, 0,

A: * Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

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Q: If Ea, is divergent and 2b, is divergent, then E(a, + ba) is divergent.

A: Taking an example and than we are trying to understand tha statement.

Q: Goenthe luncaan g(n) yon+1dvefor g(@) = 3 Prowde your ansper beluw

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Q: Check the lineor delende nee or IndePondence fature for seto below: in M UR 2x2 1 o in PsUR) B)…

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Q: 4 Evaluate f, S, 6xy² dydx

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A: We will use binomial expansion to prove given relation

Q: 20 Evaluate f Az-y dxdzdy

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Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

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Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

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Q: the followiny Qu:- proof O Csch (X)= In Că

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

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Q: EVALUATE S(3sin t - 2cos t) dt

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Q: A. Does aboue given fanction Saitsfy the Fie F ze el

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