Given F(x, y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given...

Extracted text: Given F(x, y, z) = xzị + 3yj + yzk be a vector function that passes through a surface S of z+x² + y? = 4 that lies above z 0, which is positively oriented. Sketch the surface S based on the given information, then evaluate ff, curl F n ds by using Stokes' Theorem.