1.) Given: T and R trisect SW XS = XW ZS = ZW Prove: XT = XR S T

Q: et a =i- 2j + k and b= 2i+j +k. Show that la + b| s lal + b|

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Q: 12, GIVEN: JKI KT, ET 1 KT, KV TL, IL EV. PROVE: AJKL AETV. T.

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Q: 6. Given: ZP=ZR; ZQ= ZS Prove: PO| RS P. 'R

A: ∠P≅∠R,∠Q≅∠S

Q: In(u cos v) and y = usin v. Evaluate and z at the point 2е" In y, x 3D (u, v) = (2, 7/4). Let z = du…

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Q: pプ PG2-2(6x)さ子エ theorem over the elosed hemispher defined bY Zz J25-x²_y?

A: Given that F→=x2+yi^-zyj^+z2k^ and z=25-x2-y2

Q: Complete the following proof. Given: WY || XZ, ZY = ZX Prove: YZXW

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Q: 5. Given: WX = XY= YZ= ZW Prove: ZW= ZY W

A: First we will prove the two triangles congruent and then proceed

Q: 2. Given: XW XY, HA I WY, KB 1 WY Prove: AHWA ~ AKYB. K Y.

A: Given data is : XW¯≅XY¯ Therefore ,  ∠XWY≅∠XYW∠XWY≅∠HWA∠XYW≅∠KYBTherefore,∠HWA≅∠KYB     .....1…

Q: Drag the postulate or theorem that proves the trieng AZWX AY XW a. ATSU AXVW # SSS E SAS

A: which criteria follow to congruent triangle

Q: AXYZ is isosceles with base YZ and M is any point on YZ. Prove that a. ZXMY > ZY Z. b. XM < XY M

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Q: Given: H bisects LKHL KH = LH Prove: 可=正 K J 7,

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

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Q: 二线 2. Given: RS = KL ST = JK RT = JL Prove: ARST= ALKJ T K

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Q: 3) Given: SR IRT; TU LUS; 4STR = 4TSU Prove: A TRS 2 A SUT T R U

A: Given, SR⊥RT,  TU⊥US∆STR≅∆TSU STATEMENTREASONSSR⊥RTgivenTU⊥USgivenSU=TRBoth intercept triangle with…

Q: Hiw Prove that c=z²,'s coutinuous at z=z. O prove that: if Z#Z0 is dis continnity at Z=Zo, where 2o

A: (1) Calculate the RHL and LHL for the function f(z).…

Q: How do I prove this?

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Q: 2 Given: JK || LM, I| KM Prove: AJKL AMLK K

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Q: Prove the following diff. eq. is homogeneous xy²dx + (x³ + y³)dy = 0

A: Please refer the attached image for complete solution.

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

A: Topic:- application of integration

Q: 10. Given: YX = ZX WX bisects ZYXZ Prove: AWYX AWZX

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Q: please explain it step by step

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Q: H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=ee prove that aw/ar = e²r/w and aw/00 = e²0/w

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Q: 1.6 Compute the integral 2) Jyez dz where is the line segment from O to Zo

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Q: Given: WP = ZP: PY = PX Prove: Z WXY LZYX P. X Y

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Q: Use the accompanying diagram to solve Exercises 10 and 11. JKI KT, ET I KT, KV = TL, JL = EV. 10.…

A: topic - congruent triangles

Q: Given i XTE KR ASWR 2 ZWST T. Prove : SR Il TW.

A: Property used: Sum of all the Angles of a triangle is 180°

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: (a) Solve the following Goursat problem for u(x,t): Utt = Uxx +4cos 2t, (t > 0, -t <x<t), u(t,t)…

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Q: ди пе 1. Given u = x2 + xy; x = r² + s²; y = 3r – 2s, find and ar - as

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Q: 2. Given: XW = XY, HA I WY, KB 1 WY Prove: AHWA~AKYB. W.

A: Given that XW¯=XY¯ in ∆XWY. So, ∠XWY≅∠XYWor, ∠HWA≅∠KYBGiven that HA¯⊥WY¯, KB¯⊥WY¯So, ∠HAW≅∠KBY=90°

Q: Consider the solid lih S,: X=4-y² そ=2

A: Surface: Surface, A two-dimensional collection of points (flat surface), a three-dimensional…

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…

Q: Given y = Va In æ , what is dy dr In z+2 In z+y7 dy dr dy dr In z-2 dy In z-I dr ||

A: Given,

Q: 19. Given: OABCD; BE | MD: M is the midpoint of AB. Prove: DE = BC %3D E D. A M В

A: We have the given figure as, Here, □ABCD is a parallelogram and in figure BE∥MD. M is the mid point…

Q: If z = e4x + y In(x), find zx and zy. Zx Zy %3D

A: 1) The given function is: z=e4x+ ln(x)

Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: 13 ABCD is a trapecium with ABDC. A line parallel to AC intersects AB at X at Y Prove that ar…

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:…

Q: If X and Y are two independent RVs with f (x) = e*U(x) and f „(y) = e U(y) and Z = (X – Y)U (X – Y),…

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Q: (b) Let z = x + iy = re?". Find |z| and z² first in terms of x and y and then in terms of r and 0.…

A: Given:

Q: Given: ARST = AXYZ; SK bisects ZRST; K YL bisects 2XYZ. Prove: SK = YL S

A: Prove SK≅YL.

Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 10. Given: YT = YP, LC = LR, Proof ZT= LP Prove: CT = RP R

A: Consider

Q: 5. If 4=2xy į +3x°y -3pyzk is solenoidal at(1,1.1). Find p.

A: DivA=0

Q: GIVEN: LW 1TW, FX 1 XP, TF = PL, WL= XF. PROVE: AFML is isosceles. 1 2 F

A: To show triangle FML is isosceles. I.e. ,to prove MF=ML

Q: 10, GIVEN: J= XK, PJ = PK. PROVE: JY KX.

A: Given : ∠J≅∠KPJ≅PK

Q: 3. Given: KM 1 JL M IM, LIMK= LLMK Prove: AJKM = ALKM M.

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Q: Given: MN and PQ intersect at K; ZM = LQ Prove: ZP = ZN K N

A: Solution: Consider the given and MN and PQ intersecting at K therefore  ∠MKP = ∠QKN    ...(1) Also,…

Q: Given: ZR= ZZ C R CA= YA Prove: ACRA =AYZA Y

A: Use the congruent postulate and prove that both triangles are congruent.

Q: Write proofs in two-column form.

A: Given: QR and ST bisects each other.   Proofs: