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Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: ,A, B,C be 4 points in R², no three of which colinear. Fix A' e VA, B' e VB and C' e VC h that AB ||…

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Q: by implicit differen tiation the follondng fin d Dxy トy -8メ

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Q: find the Zero and order of the Linear trans formation TIRR defined as Teab)=la+bg d-byb)

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Q: 54. Find numbers a, b and c such that x = 1 + at y = 2+ bt is perpendicular to 2x + y - 3z = 1 z 3+…

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Q: Integrate the fallswingfuntinne aver the given regionr s R: the circle x+y=t and y=x? thiss

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Q: Given that 7,=21+)i and Za= FatYai Prove that

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Q: $r scolar product an R U Shoe that is in the form: %3D Co,1) where a,b,c, are real nombers Such thot…

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Q: +V2r + divided by (x - 2) is 3. The product of (Vx - /2) and (Vx* +/2r + /A

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Q: Let F = (z,2x, y) and C is the straight segment from (0,0,0, to (1,2,2). Then F• dř = %3D a) 7/2 b)…

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Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

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Q: . Which line segment is perpendicular to DM? . Which segment is congruent to DF? . What is the…

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Q: Let F = (z, 2x, y) and C is the straight segment from (0,0,0) to (1,2,3). Then ,F dř = %3D %3D

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Q: It G acts set tdansikivey then show that y Salgdnap Hof 0n A by to the actioh af en A fusthus then…

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Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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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: Hiw : O Find line Inheg ral Fozni +19j + 2ek From (-,-, 2) to (2,2,4) for twe Cases : O striaght…

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Q: Q4. Let A E Rnxm, n ≥ m. a) Use the SVD of A to deduce the SVD of ATA. b) If m = n and A is…

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Q: 1) Find RT Y x+ 19 x + 15 R の

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Q: 4. Prove that: Jx'J,Ex) dx 2 3x J,Cx)-(x-3x) J.cx) -3

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Q: 7. Let w = 8x? + 6 y² +2z° ;x = r²; y =t*; z =r² Find A) -321 + 481- + 201º В) -321 +481' + 201° - =…

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Q: the 12 Generalize geometric construction to show that if V₁ = (x, y, z) and V₂ = (x, y²₁ 2') y, z)…

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Q: th 6) Let t, be the k" triangular number. Prove that t, + 4 k + 10 is k k also triangular.

A: It is given that tk is a triangular number that means tk=k(k+1)2. To prove: tk+4k+10 is triangular.…

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: Q Let 8=R and Prove disprove that zis atopdagy or on R.

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Q: 4z2+4 Let C: z+1=4 and I = = §. dz. Then z2-1 |=-2ni 1=0 (without applying Cauchy-Goursat Theorem)…

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Q: # if Alu) is a differentimble veetoru u and l A(W) Il = 1 . fonetion of Prove that dA is…

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Q: tind Yaduis ot curuature of the Curue O r= 2t i t (1+); - 2t k at (2,1,-2) 13 Brofi+tietk at the…

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Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

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Q: Theorem-e Caley-Hemiltion)let Arxz motrix OAntra +detA=0 tet Azximufrix

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Q: nstate Taylor's s theorem, giving the explivit foraula afn the ertor.

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Q: Hw I show that' O div (fog) =Pa'g + oP.ug e cur (f) = 0 where

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