se the given transformation to evaluate the integral. [[ 3 cos(5 (y-x)) dA where R is the trapezoidal region with vertices (1, 0), (7, 0), (0, 7), and (0,1); u = y − x, v = y + x

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A: The given integral is ∬Rx+ydA over the region R which is a parallelogram with vertices…

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Q: Use the given transformation to evaluate the integral. √ 5 cos ( 7 (Y=X)) dA where R is the…

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Q: Use the given transformation to evaluate the integral. || 5x? dA, where R is the region bounded by…

A: Solve the double integral bounded by ellipse,using Jacobin transformations

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Q: Which of the following integral is the integral f Sr elz+y)/(z-9) dA where R is the trapezoidal…

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Q: Use the given transformation to evaluate the integral. || (x+y) dA, where R is the square with…

A: Given: vertices of the region square (0, 0), (4, 6), (6, -4), (10, 2) As x=4u+6v      y=6u-4v…

Q: Use the given transformation to evaluate the integral. [[ 9 cos(3 (v + X)) d dA where R is the…

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Q: Show that v(x, y) is harmonic in some domain and find a harmonic conjugate u(x, y) (7 Marks) When:…

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Q: Use the given transformation to evaluate the integral. (6x² - 11xy + 6y²) dA, where R is the region…

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Q: Use the given transformation to evaluate the integral. 82-4 dA, where R is the parallelogram…

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Q: * - xy + yỷ dA where R is the region given by x² – xy + y < 6. Consider R After using the…

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Q: Use Green's Theorem to evaluate the line integral S(x² + y²)dx + (x² – y²) dy where C is the…

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Q: Evaluate the triple integral 6 r32+2 LL ²²5-4 32 using the transformation u = x - 3z, v = 4y, and w…

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Q: Consider the transformation x =r cos 0, y = r sin 0, z = z from cylinderical to rectangular…

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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: Use the given transformation to evaluate the integral. (x+y) d4, where R is the square with vertices…

A: Given the region R is a square with vertices  0,0, 4,6, 6,-4, 10,2 and x=4u+6v, y=6u-4v.…

Q: Use the given transformation to evaluate the integral. J. (9x +9y) dA. where R is the parallelogram…

A: Using the given transformation to evaluate the integral of (9x+9y) dA, where R is the parallelogram…