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Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1…

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Q: 5. Prove that So*(y – 0)dydr =

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Q: det (NT) is sPace Toflogecu! and T=0U{un}such that 7Show that (N, Cl is compact slase

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Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

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Q: Given: - L KL ON OP NP Prove: ZM L = 2O * View

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Q: W 29) What additional information can be used to prove AVUW E AYXZ by ASA? A) Zv = Zz B) 스w Zz D)…

A: We have to find extra condition for congruence of the triangles VUW and YXZ by ASA. Given △VUW≅△YXZ…

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A: This problem is based on finding the supremum.

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Q: ng steps in the proof in order. Ris he meon of GS PAR XTSK Prove PRATS Staterenis Reasen Gier Def…

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Q: 10. Given: YX = ZX WX bisects YXZ Prove: AWYX AWZX Statements Reasons

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Q: 5 The Proofs Strike Back Statement Reason 2S ZR given Given: ZS = ZR XT bisects 2SXR given XT…

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Q: 22. Compute the contour integral (Баллов: 2) Sof (2) dz, z E C, if f (z) = and path is semicircle z…

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Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

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Q: 2. Given: KM bisects ZJKL. Prove: m22 = m23 %3D K M 3.

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Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

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Q: 10) Use Green's Theorem to eualuate S+10ny +y?)dx + l6xy+ 5a²) dy Toxy+ sa?) dy where C is the…

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Q: 3. 2. If A is 2x2 matri x aud Á = A, but %3D A+ A. show that A= 0

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Q: So lve the se cond order boundary Valye eF problem: Y+y+2yso where y (0) = || and y'lo)s 18

A: The given differential equation is y''+y'+2y=0......(1) with boundary conditions y0=11 and y'0=18…

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Q: Proue that || A|1maπi <j <n 1 Σajl . m

A: In the given question we have to prove that   A1 = max1≤j≤n{∑i=1maij}                         (1)the…

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Q: -H.. OProve that fcz) =z²,s coutinuous at z=z, O prove that: if Z#20 is dis continnity at Z=Zo,…

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A: By using ANOVA test for a single factor, a) Null and alternative hypothesis: Ho:  µ1 = µ2 = µ3  (All…

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Q: 13-Evaluate JJI zdV E where E lies between the spheres x2 + y? + z2 = 1and x2 + y? + z? = 4 in the…

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Q: 9) suppose that horx)=1, f,(x)=x ond dz(X) Prove that Ba(f, - where Ba is a Bernyterh Polymomial.

A: Given functions are f0(x)=1, f1(x)=x and f2(x)=x2 Since Bernstein polynomial is…

Q: (c) Evaluate d Gosh: where C: |z| = 2 by using Cauchy's residue theorem.

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Q: SU SW. Complete the proof that ASTW ASXU. T. V W Statement ZW ZU SU N SW ZS ZS 4 ASTW ASXU 2.

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Q: (4) In the figure, Y is compact, BEX*Y. Show that T,(B)s TB) clesed X (T, is the nýuchikn funebran)…

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Q: Using Eirjenvelue melthed envalie methed +2y dy ?a-2y 3 of

A: Given that, dxdt=-52x+2y   and dydt=34x-2y write in matrix form, x'y'=-52234-2xy for eigen values,…

Q: 3.use Greens theorem s (1+x5 dx + 2xy dy ,where C is triangle With vertices (0,0),(1,0),(1,3)…

A: Apply greens theorem

Q: B. Prove by direct proof general. P: Vn e ZE, (n – 1) (n+ 1) e Z,

A: I have solved B; you just need to expand (n-1)(n+1) and then use the fact that square is always…

Q: Then show that N(A) = R(AT)+ and N(AT) = R(A)+. %3D 11-1 02-3 -1 1-2 N(A) = N(AT) =

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Q: Q3. Let z, y be real numbers such that ry 1 and z #y. Prove that

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Q: QR I RS and UV 1 TÚ. Construct a proof that ZQRS = ZTUV.

A: First, we sketch the situation roughly  We have to prove:

Q: Which condition would prove AJKL - AXYZ? K Y 56 7. JL XZ 造=8 KL 8 JK %3D XY

A: We have to find which condition would prove ∆JKL~∆XYZ.

Q: Prave by indretion ŽKczkt) z on n that for all integens aoenzl, 2.

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