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Unformatted text preview: , , 0) (0 , 1 , 0) (1 , 1 , 0) (b) the path from (0 , , 0) (1 , , 0) (1 , 1 , 0) (c) the path from (0 , , 0) (1 , 1 , 0) along the parabola y = x 2 6. (a) Sketch a picture of the vector eld F = x x . (b) Calculate directly the ux of F outward through the surface of the unit cube dened by x, y, z 1. (c) Calculate the ux using the divergence theorem. 7. For the following problem work in rectangular coordinates . (a) Sketch a picture of the vector eld F = z x x (b) Calculate directly the line integral of F around a circle in the xy plane, centered at 0 with a radius a . (c) Calculate the line integral by using Stokes theorem. 8. Rewrite F from the problem above in cylindrical coordinates and rework the problem in cylindrical coordinates. 1...
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 Fall '09
 STAFF
 Magnetism, Work

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