Larson_Calculus_10e ch13sec07
MULTIPLE CHOICE
1. For the function given by describe the level surface given by
.
a.
sphere of radius 4 centered at the origin
b.
circle of radius 4 centered at the origin
c.
elliptic cone centered at the origin
d.
sphere of radius 16 centered at the origin
e.
right circular cone centered at the origin
2. Find the unit normal vector to the surface at the point .
a.
b.
c.
d.
e.
3. Find a unit normal vector to the surface at the point .
a.
b.
c.
d.
e.
4. Find a unit normal vector to the surface at the point .
a.
b.
c.
d.
e.
5. Find a unit normal vector to the surface at the point .
a.
b.
c.
d.
e.
6. Find an equation of the tangent plane to the surface at the point .
a.
b.
c.
d.
e.
7. Find an equation of the tangent plane to the surface at the point .
a.
b.
c.
d.
e.
8. Find an equation of the tangent plane to the surface at the point .
a.
b.
c.
d.
e.
9. Find symmetric equations of the normal line to the surface at the point .
a.
b.
c.
d.
e.
10. Find symmetric equations of the normal line to the surface at the point .
a.
b.
c.
d.
e.
11. Find symmetric equations of the normal line to the surface at the point .
a.
b.
c.
d.
e.
12. Find symmetric equations of the tangent line to the curve of intersection of the surfaces
at the point .
a.
b.
c.
d.
e.
13. Find symmetric equations of the tangent line to the curve of intersection of the surfaces
at the point .
a.
b.
c.
d.
e.
14. Find the angle of inclination of the tangent plane to the surface at the point
. Round your answer to two decimal places.
a.
b.
c.
d.
e.
15. Identify the point(s) on the surface where the tangent plane is horizontal.
a.
b.
c.
d.
e.
16. Find the point(s) on the hyperboloid where the tangent plane is perpendicular to
the line with parametric equations and .
a.
b.
c.
d.
e.