Parameterize this surface (call it
) by

with
and
. The limits on
should be obvious. We find the upper limit for
by solving for
where the sphere and cone intersect:




Take the normal vector to
to be

(orientation does not matter here)
Then the area of
is



1)B two real roots.
2)D two complex roots.
3) and 4) later
<span>Y=3x+2 slope = 3
</span><span>perpendicular, slope = -1/3
answer is C) </span><span>-1/3 </span>