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Q: 10. a. Find the Jacobian of the transformation x = u, y sketch the region G: 1 < u < 2, 1 < uv < 2,…

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Q: 15. Use the transformation x = u/v, y = uv to evaluate the integral sum ~4 r4/y (x² + y²) dx dy +…

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Q: se the given transformation to evaluate the integral. 3xy dA, where R is the region in the first…

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Q: 9. Evaluate the integral = R from z₁ = 1 to Z2 = -1. where C is the above half of the circle

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Q: * ConSider the prooblem SS 3147 dyde ススーY R : Ris enelosd by x-Y= -2, 2L-Y=-1 スイ+ソ= 0, 2メナY-2. D for…

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Q: 13. Find the double integral ff(62²-4zy) dA, where R is the region bounded by y=2² and y=z.

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Q: √√2+₁ dxdy Evaluate the double integral is the region in the first quadrant in the xy-plane bounded…

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Q: Verify Green's Theorem by evaluating both integrals y? dx + x2 dy dA ду for the given path. C:…

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Q: Verify Green's Theorem by evaluating both integrals ƏN [_y² dx + x² ay = [] (ax - 3+²) da d'A dy ay…

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Q: SS Q2: Evaluate (2x + y²) dA where R is the region in the R first octant bounded by circles x² + y²…

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

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Q: Evaluate the line integral by the two following methods. integral xy dx + x2 dy   C is…

A: The vertices of a rectangle 0,0,4,0,4,3 and 0,3. We have to evaluate the integral ∫Cxydx+x2dy.