1 Ifx+y= 6/x? – xy + y? = 7, then x3 + y³ = a) 13 b) 24 c) 42 d) 1

Q: The Critial Points of fcx,y)t+Ý-4y subject to the x+y=9 is O (o,さ3), (は5,2) ④ (e, さ)さ何,) None of…

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Q: O8+ Cataulali (he volume v dune of paallelpipad detemined by The veilois 3i+2K +3k. う

A: To find the volume of a parallelepiped that is determined by the below vectors. a=i−jb=3i+2kc=−7j+3k…

Q: he geneCral solutION UI tind the pacticular soluetion of the di fforentral equatkoK 24-20 givon y=3,…

A: We have to find Perticular Solution for given differential equation using y=3, x=2.

Q: Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o…

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Q: 2. Isosceles ACAR is inscribed in OE. If mCR = 130, find: %3D a. MZCAR A b. mZACR C. MZARC C d. mÁC…

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Q: Determine las primeras derivadas parciales de la función en el punto (1,2) f(a, t) = V3x + 4t…

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Q: Theorem 8o4 ŏ In a parallileguam, oppesitiangles ale equal aie

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Q: 3.4 Compute the angle between -- ). --- 1 y = 2 using a. (x, y) := x'y TBy, 2 В:- 1 b. (x, y) := x 3

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Q: Given: YX - XZ, WX bisects ZYXZ prove: AWYX = AWZX

A: Given: Prove:

Q: Considere la circunferencia C = (x – 2)² + (y + 6)² = 10 %3D cuyo centro se desplaza 2 unidades a la…

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Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: 1. En el siguiente diagrama, la recta AB es paralela a la recta CD, esto es, Ls || Lon La medida de…

A: The objective of the question is determine the angle (CED).

Q: Given that P l2 and PAP = D, compute A". %3D %3D

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Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

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Q: 12, Show that ()() = (OC)- n-m' %3D 13. Show thet (A)

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Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?

A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a…

Q: Show that (hcs) de = 1 In 27 e %3D 2. 20 (ite")(2 + 1)

A: To show: ∫0ln 2e2x1+ex2ex+1dx=12ln2720. Concept used: Integration of ∫1vdv is equal to ln v+C.…

Q: I if é osy =xe, fiel y' by, use Implicite di fferen ional ? %3D

A: Authoring guidelines:…

Q: Complete the proof that mZXWY + MZRTU = 180°. R Statement Reason Given 1 VX || SU 2 ZXWY LUTW 3…

A: Topic:- geometry

Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

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Q: 3. PO is a l bisector and mzM = 68°. MN = 14, PO = 24 4. %3D %3D LOLN 14 M MZMPO = %3D MZPNO = PN =…

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Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: メ人 xp- Vtan (e) sec?(e) de Evewale Jhe Jollowing! op (e)as (a)

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Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: lar, let m = 2 and n e of A and B such that

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Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

A: Given: Group S4 We need to show that S4 has representationx,y|x4=y2=xy3=1

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: 6. 4, efer to the Ingure, all3WCI tII C 9, B 8, 10 F A Shape 4. If BT - IG and IG 60°, %3D %3D

A: Given figure, have to find centra angles, inscribed angles , minor angles.

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

Q: (A BC +he 1のternal of o, B ang le mtersect at ņ,y ond 2respecthey ABC, the circumcircle Y and Z…

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Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where…

Q: ind the points sharizantal. Lemniscate » 2

A: Given:The equation of the lemniscate is 2(x2+y2)2=25(x2-y2)To find:The points are the…

Q: SHOW that V Ź a? Jor a, E IR when His ineguaity e kold .

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Q: 12. If NQ bisects ZRNP, then 2QNP 13. If RN bisects ZSRP and m2=55, then mZ1=

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Q: In AXYZ, mzx = 37° and m2Y = 53°. What type of triangle is AXYZ? O Scalene Triangle O Acute Triangle…

A: Given that in ∆XYZ,∠X=37∘and ∠Y=53∘.We have to show what type of triangle is ∆XYZ. (a) Scalene…

Q: In ATWO, mzW 70° and mzWTD = 115°, which statement is true? (GCO.9a) A) TW OT D) TW WO D T

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: 2. Which of the following statements is TRUE about rectangle WXYZ. X z, 10 Figure 1 WV = VZ XZ XY O…

A: Given query is to find correct statements for the rectangle WXYZ.

Q: *Show that for any x, y ER² we have doo (x,y) ≤ d2(x, y) ≤ di(x, y). Undez d2(x, y)? Under what…

A: To Show:  d∞(x,y)≤d2(x,y)≤d1(x,y). for x,y∈ℝ2. Also we need to examine that under what condition…

Q: IL ROSE is a square. RB = 15 R E 6. mzROE = %3D 7. M20SE = 8. mzOBS = %3D 9. RS = 10. OE = %3D

A: Student has specifically asked for the solution to questions 9-10. Hence those questions are…

Q: O Find tor foaunctric yuatrn yzl+2tan o, 1: 2rseco

A: y=1+2tan∅x=2+sec∅find d2yd∅2 Since multiple questions are asked, according to guidelines, I am…

Q: Determine las primeras derivadas parciales de la función en el punto (1,2) (u, v) = z*y - 3yA O(1,2)…

A: Find the first partial derivatives of the function at the point (1,2) f(x,y) = x2y-3y4

Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, ZXZW LYWZ, and XW…

A: Explanation of the answer is as follows

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: 1. If OR 1 PQ at S, mZP = 30 and PO = 12cm, find PQ. 2. If OR 1 PQ at S, mLQ = 60 and OQ = 8cm, find…

A: Given: 1. OR⊥PQ ¯ at S, m∠P=30° and PO=12 cm2.  OR⊥PQ¯ at S, m∠Q=60° and OQ=8 cm3.  OR⊥PQ¯ at S,…

Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||