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The surface
is given by an equation of the form z=f(x,y), where
;
then
Example 8.29
The area of the surface cut from the bottom of the paraboloid
by the plane whose equation is
z=1 is:
***
The surface
is given by an equation of the form x=f(y,z), where
;
then
Example 8.30
The area of the surface cut from the bottom of the paraboloid
by the
yzplane is:
***
The surface
is given by an equation of the form y=f(x,z), where
;
then
Example 8.31
The area of the surface cut in the first octant from the cylinder whose equation is
y=
z^{2} by the planes whose respective equationsare
x=1 and
y=1 is:
Figure 8:

Next: Mass of a thin
Up: Surface integrals and Surface
Previous: Surface integral.
Noah DanaPicard
20010530