- #1
lembeh
- 4
- 0
Homework Statement
Let S be the surface given by the graph z = 4 - x2 - y2 above the xy-plane (that it is, where z [tex]\geq[/tex] 0) with downward pointing normal, and let
F (x,y,z) = xcosz i - ycosz j + (x2 + y2 ) k
Compute [tex]\oint\oints[/tex][tex]\oint[/tex]s F dS. (F has a downward pointing normal)
(Hint: Its easy to see that div F = 0 on all R3. This implies that there exists a vector field G such that F = Curl G, although it doesn't tell you what G is)
Homework Equations
z = 4 - x2 - y2 above the xy-plane (that it is, where z [tex]\geq[/tex] 0) with downward pointing normal
F (x,y,z) = xcosz i - ycosz j + (x2 + y2 ) k
Compute [tex]\oint\oints[/tex][tex]\oint[/tex]s F dS. (F has a downward pointing normal)
The Attempt at a Solution
Im getting throw off a bit by the hint. I know its something to do with the surface not being defined around the origin but that's about it.
Homework Statement
See above
Homework Equations
How do I solve this?!