- Stewart, Section 14.9, Exercises 3, 12, 17, 18, 21, 22, 23.
are positive constants. Find the surface integral of
the surface shown, with the given unit normal.
[Drawing: omitted. The drawing depicts a surface that encloses the
origin, and has a ``tail'' that curves back over towards the origin,
intersects the surface and then encloses the origin again for a
be the same as in Exercise 2, and let
be the curve
oriented in the anti-clockwise direction when viewed from
- Calculate directly the flux of
through the bottom half of the
unit sphere, with unit normal pointing towards the origin.
- Use the divergence theorem to show that if if
is any oriented
surface with oriented boundary , and
does not intersect the
non-negative part of the -axis, then the flux of
Math 13 Winter 1999