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

Q: Find J, ()dx Chint:let Z=Jx)

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Q: If a = (2x)i + (y)j + (42)k, b = yî + xj + 3yk, ċ=-zî - 2zj-((λ +1)x) k are sides of triangle as…

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Q: Be A = Rmx. Prove that (Ax). y = X. (A¹y), where X≤R",y≤R".

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Q: If xty= 2e Cos Øand x-y=2ies.m Ø show that Su

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

A: ∠P≅∠R,∠Q≅∠S

Q: Prove both sides equal πU (PN ₂) = (π Up) N (π UV).

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Q: 2. If z = x° In 2.xy, find at 1,-

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Q: xy If z show that: x- y

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Q: = a + zy", z - w* + w, y I = uu" + w", y u+ ve fi az Find when u = 1, v 2. w=0 = %3D H.

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Q: Evaluate the following. SP S: z = 13 - 4x + 6y, 0 Sx S 5, 0sys5

A: We have to evaluate the given double integral.

Q: SK X = 8 4. Prove that if ged(a, b) = g, dlac, and dlbc, then digc. One convenient way to do this…

A: To prove that if gcd(a, b) = g, d| ac, and d|bc, then d| gc, we can use Bezout's theorem. Bezout's…

Q: Which condition would prove AJKL ~ AXYZ?

A: Here we have to find the ratio between two sides such that the given 2 triangles will become…

Q: Find thequahen. perpenditar to i fine -個 epe at OD pr Find tha liit ultpy cen gale (ro a) Po FO…

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Q: Suppese hal he landem Variables XEY have joinl se Thal he andom elsewiere P(x> PCX+リ>) whethe X8Y e…

A: As per our guidelines we are suppose to answer three sub parts .

Q: PRE Y = x +BX+E SRF 4 = 4= a +bx+e a = 4-6x bx b= Ixy Prove that E (a) = d a is or GOLS a also un…

A: The regression model is provided as Y=α+βX+ε. While the estimated regression model is provided as…

Q: C. Evaluate z³e¹/2 dz where C is lz-2| = 1 C. Evaluate $c COSZ dz where Cis |z| = 4.5

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Q: To compute the predicted values of Y, Y, we need (do not assume you have the fitted model already):…

A: To find the predicted values of Y, first we have to fit the model.

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: 3. Find (ð v/ôx)x,z if v =x +y²-e²+ sin t and x+y=t

A: Given that  v=x+y2-ez+sint where t is given by x+y=t. So our function v becomes…

Q: Q3. If w = f(u, v) , u = cosx and v = sinx, show that: d?w v² funu + u? fov – 2uvfuv – ufu – vfp %3D…

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Q: 4. Find dy for y u² eu for y=+* du

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Q: Let X = R and Y = {(0, a, 0), a EE R} %3D %3D and V = {(b,0, b), be R} %3D Then X = Y e V %3D O True…

A: FALSE

Q: Find V x (V x F) if F(r, y, z) = 8xyj+ 2xyz k. CS Scannec with CamScanner

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Q: 7. Which of the following is a wff of P? Circle your answer. (a) Jvb (b) (3y)(Sy → Sx) (с) (x)(Нх Л…

A: WFF is the abbreviation of Well formed formula which follows certain rules The letters should be…

Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: 1. The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they…

A: Since you have posted a question with multiple with sub-parts, we will solve first 3 sub-parts for…

Q: . Let w- e*² <in Cyz)- e Yz cor Cxz) Find - W X

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Q: ナュ+ッ= 3

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

Q: 2. Given V = x + y' av a) Find and b) Hence, show that y ( - ) = v. = V. ду

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