Use the given transformation to evaluate the double integral, 7((x-4y)/(7x-y)) dA  where R is the parallelogram enclosed by the lines  x − 4y = 0,   x − 4y = 8,   7x − y = 2,  and  7x − y = 3; u = x − 4y, v = 7x − y

Q: Calculate the double integral. 6x/1+xy dA, R=[0,6]x[0,1]

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Q: Use the given transformation to evaluate the integral. 7x2 dA, where R is the region bounded by the…

A: x=5u, y=6vThen 36x2+25y2=900 becomes36(54)2+25(6v)2=90090042+900v2=900⇒…

Q: 4. Calculate the integral (x – 3y) dA where R is the triangular region with vertices (0,0), (2, 1)…

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Q: Calculate the double integral. 4x dA, R = [0, 4] × [0, 1] 1 + xy

A: The given integral is ∬R 4x1+xy dA  where R=0,4×0,1. Evaluate as follows.

Q: Choose the correct answer by changing the order of integration of the following iterated integral…

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Q: Compute line integral of F(x,y) = (2x² – 3,₁²³)^² + (2x +34²) ↑ с over the following C F-dr SCF ¾ ç…

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Q: Find the Jacobian for the transformation x = 3u + v and y = u+ 3v. NEXT, use this transformation to…

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Q: G: Evaluate 4 px=(y/2)+1 2х - у Z. dx dy dz 3 0 Jx=y/2 by applying the transformation u = и %3D (2х…

A: Given the integral  We need to applying the transformation, u = (2x-y)/2 ,  v = y/2  and  w = z/3…

Q: and y = 2u, evaluate the integral xy³dA where c) Using the transformation x =-; 6u region R is…

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Q: Use the given transformation to evaluate the integral. 7x2 dA, where R is the region bounded by the…

A: Given : R is the region bounded by the ellipse 9x2+25y2=225 given transformation x=5u,y=3v We want…

Q: Use symmetry to evaluate the double integral. 2xy J63 JR 1 + x ,10 dA, R = {(x, y) | -4 ≤ x ≤ 4,0 ≤…

A: Consider the given double integral, ∫∫R2xy1+x10dA, where R=x,y-4≤x≤4, 0≤y≤1. Consider the integrand,…

Q: Match the correct representation of "u" to evaluate the given integrals by the method of…

A: We have to match the correct representation of u to evaluate the given integrals by the method of…

Q: c) Evaluate | V In(z)dr by using integration by part.

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Q: Use the given transformation to evaluate the integral ʃʃ 10x2dA where R is the region bounded by…

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Q: Use the given transformation to evaluate the integral. u = -2x + y, v= 5x + y; SS (5x + y) dx dy,…

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Q: Use the given transformation to evaluate the integral, 3 cos(5((y-x)/(y+x))) dA u = y − x, v = y + x…

A: Given that the integral,

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 < y< 2, y – 1 < x < 1}

A: Double integration

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 <ys 2, y – 1 < x< 1}

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Q: Consider the region RR in the xyxy-plane that is described by the intersection of the four lines:…

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Q: Show that y^3dx+3xy^2dy=0 is separable and exact

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Q: Use the given transformation to evaluate the integral. JJy d4, where R is the region bounded by the…

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Q: Evaluate the triple integral. 4x dV, where E is bounded by the paraboloid x = 5y2 + 5z2 and the…

A: We have a paraboloid, and each cross section is a circle, parallel to the plane x = 5. We use…

Q: Use the transformation u = y - x, v = y, to evaluate the integral on the parallelogram R of vertices…

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Q: Use the given transformation to evaluate the integral, where R is the parallelogram bounded by the…

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Q: Use the given transformation to evaluate the integral. 3x dx dy, u = x+ y, v = - 2x+y where R is the…

A: To evaluate the double integral using change of variable follow: Determine the region under a given…

Q: Evaluate the double integral. I1, 7y? dA, D is the triangular region with vertices (0, 1), (1, 2),…

A: We need to find  double integral , ∫∫D7y2dA  , where D is the triangular region with vertices (0 ,…

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

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Q: Let T be the triangular region bounded by the lines y = x,0 <x <1. By using the transformation x = u…

A: Let T be the triangular region bounded by the lines y=x, 0≤x≤1. Given transformation x=u+v and y=u-v…

Q: Use the transformation u= 4x+3y, v=x+3y to evaluate the given integral for 4 the region R bounded by…

A: We are given the following transformation: u=4x+3y, v=x+3y    ⇒    x=u-v3    and…

Q: Use the transformation u = y - x, v = y, to evaluate the integrals on the parallelogram R which has…

A: We need to evaluate the integral: ∬Ry-xdA using the transformations: u=y-x, v=y. Here, R is a…

Q: Find the Jacobian of the transformation. x=u/v, y=v/w, z=w/w, and evaluate the double integral of…

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Q: Find the Jacobian for the transformation x 3u cos v and y = 4u sin v. %3D NEXT, use this…

A: Given, x=3u cosvy=4u sinv

Q: Use the given transformation to evaluate the integral. (3x2 - 3xy + 3y2) dA, where R is the region…

A: Here by using the given transformation we have to evaluate the integral.   ∫∫R(3x2-3xy+3y2) dA,…

Q: Calculate the following integral by applying the transform u=(3x-y)/3, v=y/3 and integrating over a…

A: Given,            ∫06∫y3y3+13x-y3dxdy                               (1) and                u=3x-y3…

Q: Evaluate the triple integral 3 4 (y/2)+1 SS S (+) dr dy dz 00 y/2 in ryz-space by using the…

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Q: Use the given transformation to evaluate the integral. 8xy dA, where R is the region in the first…

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Q: compute J secx dr. I n trying to integrate

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Q: Use the transformation u = x + y and v = x- 2y to evaluate || 3xy dA for the R region R bounded by…

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Q: Consider f dr. V1-16z² For the u-substitution u = 1 – 16x², which is the new integra 32 u2

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Q: Evaluate the triple integral. 4x dV, where E is bounded by the paraboloid x = 7y2 + 7z² and the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Use the given transformation to evaluate the integral. (3x2 - 3xy + 3y2) da, where Ris the region…

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Q: Use the transformation (change of variables) x = 2u +v and y = u+ 2v to set up the integral / (x –…

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Q: Evaluate the line integral along the given path. (4x-7y)ds C:r = 7ti+6tj, 0 ≤ y ≤8 O-454/85 O-444√85…

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Q: What is the Jacobian of the transformation T that arises from an appropriate change of variables to…

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Q: Evaluate the triple integral. 10x dv, where E is bounded by the paraboloid x = 2y² + 2z2 and the…

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Q: Evaluate JI (x* +y)dxcdy on B region using the transformation 1= xy and v= x²- y xy= 2 = شر هړ. B و…

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Q: Use the given transformation to evaluate the integral, 10 sin(81x2 + 49y2) dA,    where R is the…

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Q: Use the given transformation to evaluate the integral. J (8x + 8y) dA, where R is the parallelogram…

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