## \iint_S (∇×\vec F)⋅\vec n \,dS = \iint_S <P, Q,\frac ∂ {∂x} (x+z) - \frac ∂ {∂y} (z-y) >⋅<0, 0, 1> \, dS = \iint_S 2\,dS = 8π ##
That makes a lot of sense, thanks for the tip.
Homework Statement
Let S be the portion of the paraboloid ##z = 4 - x^2 - y^2 ## that lies above the plane ##z = 0## and let ##\vec F = < z-y, x+z, -e^{ xyz }cos y >##. Use Stoke's Theorem to find the surface integral ##\iint_S (\nabla × \vec F) ⋅ \vec n \,dS##.
Homework Equations
##\iint_S...
I'm an engineering student looking to transfer to university soon. Math and science have always been fun and I've just completed linear algebra, multi variable calculus and my first semester of E&M. Hello, and thanks in advance for all the advice, insight and help i may find here.