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Define the stokes theorem

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Reference no: EM131615008

Question: 1. If curl F→ everywhere perpendicular to the z-axis, and if C is a circle in the xy-plane, then the circulation of F→ around C is zero.

2. If S is the upper unit hemisphere x2 + y2 + z2 = 1, z ≥ 0, oriented upward, then the boundary of S used in Stokes' Theorem is the circle x2 + y2 = 1, z = 0, with orientation counterclockwise when viewed from the positive z-axis.

Reference no: EM131615008

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