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Stewart_Calc_7ET ch12sec06
MULTIPLE CHOICE
1. Find an equation for the surface consisting of all points that are equidistant from the point
and the plane .
a.
b.
c.
d.
e.
2. Find an equation for the surface consisting of all points P for which the distance from P to the
x-axis is times the distance from P to the yz-plane.
a.
b.
c.
d.
e.
3. An ellipsoid is created by rotating the ellipse about the x-axis. Find the equation of the
ellipsoid.
a.
b.
c.
d.
e.
4. Find an equation for the surface obtained by rotating the parabola about the y-axis.
a.
b.
c.
d.
e.
5. Classify the surface.
a.
A hyperboloid of one sheet with center and axis parallel to the z-axis.
b.
A cone with axis parallel to the z-axis and vertex .
c.
A circular paraboloid with vertex and axis the z-axis.
6. Reduce the equation to one of the standard forms.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find an equation for the surface obtained by rotating the line about the x-axis.
