Use the divergence Theorem to evaluate
∫
s
∫
F
⋅
N
d
s
and find the outward flux of
F
through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results.
F
(
x
,
y
,
z
)
=
x
e
z
i
+
y
e
z
j
+
e
z
k
S
:
z
=
3
−
y
,
z
=
0
,
x
=
0
,
x
=
6
,
y
=
0
