Let S be part of the outward-oriented hyperboloid of one sheet x² + y² = z² = 1 that lies within the sphere x² + y² + z² = 3 Use the parameterization r(z,0) = (√1 + z² cos 0, √1 + z² sin 0,z) with appropriate lim- its to compute F.ds where F(x, y, z) = (y, -x, -z).

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A: I hope that this solution will help you .Thankyou. Best regards.

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Q: 8.) Find the planes tangent to the following surfaces indicated points: a:) x² + 2y ²2/3 X ² = 10₁…

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Q: 1) Prove Green's Theorem for F = 3xy'i - 4xj around the curve C bounded %3D 160 by y = 2x and y =…

A: These questions are about green's theorem around any given curve c.

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of…

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Q: 1) Let S be the surface of the cylinder r+y = 4 with y >0 and -15z<1. Find a parametric equation…

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