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...

Question

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

Answer 1