Question

Let E be a simple solid region and let E be the boundary surface of E, given
with positive (outward) orientation. Assume (0; 0; 0) =2 S. Show that
Z Z
S
~r
jj~rjj3

dS =

4 if (0; 0; 0) 2 E
0 if (0; 0; 0) =2 E
where ~r =< x; y; z >, and jj~rjj =
p
x2 + y2 + z2.
6. Let ~F(x; y; z) = 1
4
P8
i=1 10i ~x

Answer 1

What is this monster?