Stokes theorem - Example using polar coordinates to compute integral

Опубликовано: 28 Январь 2025
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Question: Use Stoke's Theorem to evaluate ∫c F • Tds. Let F(x,y,x) = ‹ x+y, y-2z, x + 2z › . Let C be the curve of intersection of the paraboloid z = x2 + y2...
Let F(x,y,x) = ‹ x+y, y-2z, x + 2z › . Let C be the curve of intersection of the paraboloid z = x2 + y2 with plane z = x, and suppose that the curve is oriented counterclockwish when we look down on it from above. Use Stoke's Theorem to evaluate ∫c F • Tds

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