If flx.y.z)=x²y3-y?z3 Then fxyz= 6xy? ulan O ihi O

Q: f(æ, y, z) = æ²y+ 2y²z+ 3æz?. Compute fa: (1, 1, 1). None of these. 3

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Q: T(x,y, z) = x² + 2y² + z

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Q: If we use IBP to evaluate Ixe xe²x dx, then the most suitable choice for u and dv are

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Q: If zy² = In(xy) – e*², dz then dx 1-xz²e² A) ry²+2zx?erz² B) 1+rz?c=? ry²+2zx²ezz² C) 1-rze*:²…

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Q: If f(x,y) = x In(2y³ – 5) + y e* , find ! of and ôx ây

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Q: If MZCDB = 6y and mZACB = 2y + 10, find y. B E C %3D A

A: Consider the property of the rhombus that each of the diagonal bisects the opposite angle and the…

Q: d'u = (1+3xyz+x*y°=²)e² dxdydz xyz If u = e-,show that 1+ 3xyz + x y:

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Q: If z = x + iy, z/3 – a – ib and * = 2 (a' -b'), then a is equal а b y to

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Q: fong=メーm X= Sin z0 4= coszo COSzo df =

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Q: 5- x²y+y3 y' x3+y3 diferansiyel denkleminin türü nedir? a)o 2. Mertebe b)o homojen değişkenlerine…

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Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise

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Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: Let -2xy – 3yz – cz, x = st, y= e", z=t? Compute ди (4,-5) = ds dw (4,-5) =

A: The given function.

Q: Find Cx(x,y) if Cx(x,y) = 2x2 + 7xy - 9y2 + 4x - 9y - 6 Cx(x,y) = ?

A: Let's find.

Q: 12 - y+ ] - dy = |+C

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Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

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Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

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Q: - If y = e3x and y = e-3x , prove that: - %3D d²y 9y = 0 dx2

A: Given: y=e3x⇒dydx=ddxe3x⇒dydx=3e3xNow,d2ydx2=ddxdydx       =ddx3e3x       =3ddxe3x       =33e3x…

Q: 1- S, (xy – y³)dA (1,y]x[0,1]

A: Please ask only one question at a time.

Q: d the values of az/ax and öz/ay at the point z - xy + yz + y' - 2 = 0, (1, 1, 1)

A: Given that  z^3-xy+yz+y^3-2=0 To find the partial derivatives at point (1,1,1)

Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: If x= 2u3 – 3u² and y=u³ – 3u, then dy is dx u+1 (A 2u u+1 B и — 1 2u и — 1 D

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Q: الرابع: جد ناتج احد التكاملين التالي ين 1- Smte) xy e*y° dxdy 2- r? N4-y² ry8-x²-y" zdzdxdy x²+y2 2-…

A: 1 ∫01∫0ln(2)xyexy2dxdy first we will solve ∫0ln(2)xyexy2dx ∫0ln(2)xyexy2dx=y∫0ln(2)xexy2dxSubstitute…

Q: A- If y = e3x and y = e-3x , prove that: - d²y dx2 – 9y = 0

A: The solution for the above question is as shown below.

Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: If f(x, y, z) = In(2 + x² – 2y² – 3z), 7 =, then Duf (2,-1, 1) = =, then %3D A) B) 11 C) D) E)

A: The function is given by fx, y, z = ln2+x2-2y2-3z The vector is given by u→ = 1, 1, -1 To evaluate:…

Q: yesin 3y dy csc 6y с бу CSC

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Q: 9. If y = V-|x|, then Dr = %3D %3D

A: Df :  Domain of function f  The set of all input values where f defined

Q: EXAMPLE 4: WY = In AWXY: WX = 9 m, XY = 15 m, and n ZW =31° m2X = mZY =

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Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: If & = {(z, y, z) | 1< * < 2, z < y < 2a, 0 < z < z +2y} then: SI. 3zz dV ニ

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Q: If = 2 z-x'y and A = 2x'î-3 yzj +x z'k, find A.V and A xV4 at the point ( 1,-1,1).

A: given ϕ=2z-x3y and A=2xi^-3yzj^+z2 k^ find at the point 1,-1,1 1) A·∇ϕ 2) A×∇ϕ

Q: If u=l0g Cx +ytz- 3>yz) prove that Ce+y+z) he

A: Given that u=logx3+y3+z3-3xyz Then  ∂u∂x=3x2-3yzx3+y3+z3-3xyz ∂u∂y=3y2-3xzx3+y3+z3-3xyz…

Q: T (x, y) (2x,y) is an is %3D

A: T(x,y)=(2x,12y) The transformation of any figure changes the size, shape and the position to create…

Q: Prove if X,Z, y > 0 xy (3x +2y – 4z)+ yz(y+3z – 4x)+ xz(x+2z –- 4y)>0 then

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Q: 2 2xy) dy, v es (0, 0), (2, 0), (

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Q: 3. If (x, y, z) = xy²z find grad 6 at (2,−1,3).

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Q: Fx, y, z) = (10y – az – 5x)i + (3by – x + 8z)k + (z – 5y + 2cx)j %3D a

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Q: (b) ƒ(x, y) = Vy – x · In (y+x) -

A: Given (b) f(x,y)=y-x ln (y+x)

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: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: A- If y = e3x and y = e-3x , prove that: - d²y - 9y = 0 - dx2

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Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

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Q: O eiz dz < z2 – i e2 , 3 - z(t) = 2e", t e [0,27]. true False

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Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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