Question: Let 2 y2 32 12 = 1 be a surface S in (x, y, z)-space. Let C be the curve formed by the intersection of

Let 2 y2 32 12 = 1 be a surface S

Let 2 y2 32 12 = 1 be a surface S in (x, y, z)-space. Let C be the curve formed by the intersection of the plane z - -3 y + 3 x + 1 with 1. Evaluate I - fo F . dr, where C is anticlockwise when viewed from large z, and F - (x3-y)i + (siny-3z)j + (3x2 y + cos z) k

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