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Let o be the surface 6x + 9y + 8z = 7 in the first octant, oriented upwards. Let C be the oriented boundary of
Let o be the surface 6x + 9y + 8z = 7 in the first octant, oriented upwards. Let C be the oriented boundary of o. Compute the work done in moving a unit mass particle around the boundary of o through the vector field F = (4x - 9y)i + (9y - 4z)j + (4z - 4x) k using line integrals, and using Stokes' Theorem. Assume mass is measured in kg, length in meters, and force in Newtons (1 nt = 1kg-m). LINE INTEGRALS Parameterize the boundary of o positively using the standard form, tv+P with 0
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