研究所、轉學考(插大)-微積分題庫

【非選題】

2. (10 分) Let E be the solid bounded by the paraboloid z =66ed0f4a15e5a.jpg- x² + y² and the surface z = 66ed0f6475590.jpg and let S be the boundary surface of E, given with positive (outward) orientation. Sketch the solid E and use the Divergence Theorem to find ∬ F ⋅ dS for the vector field F(x, y, z) = (x³, y³, 3xy).