[Solution] Use Stoke's theorem to evaluate \oint_C F • d r F(x, y, z)=-3 y^2 i+4 z_j+6 x k is the triangle in the plane z=1/2 y w) (0,2,1) and (0,0,0) w)


Question: Use Stoke's theorem to evaluate \(\oint_{C} F \cdot d r\)

\(F(x, y, z)=-3 y^{2} i+4 z_{j}+6 x k\) is the triangle

in the plane \(z=\frac{1}{2} y\) w) \((0,2,1)\) and \((0,0,0)\) w) a counter clock wise orientation looking down the positive \(z\) -axis.

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