Stewart_Calc_7ET ch13sec01
MULTIPLE CHOICE
1. Find the limit.
a.
b.
c.
d.
e.
2. Let .
Find the domain of .
a.
b.
c.
d.
e.
3. Find the domain of the vector function .
a.
b.
c.
d.
4. Find the domain of the vector function .
a.
b.
c.
d.
5. Find the limit .
a.
b.
c.
d.
6. Find a vector function that represents the curve of intersection of the two surfaces:
the top half of the ellipsoid and the parabolic cylinder .
a.
b.
c.
d.
e.
7. Find a vector function that represents the curve of intersection of the two surfaces:
The circular cylinder and the parabolic cylinder .
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find the following limit.
2. Find a vector function that represents the curve of intersection of the two surfaces:
The paraboloid and the parabolic cylinder .
SHORT ANSWER
1. Two points A and B are located 100 ft apart on a straight line. A particle moves from A
toward B with an initial velocity of 9 ft/sec and an acceleration of .
Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an
acceleration of . When will the two particles collide? At what distance from A will
the collision take place?
2. Sketch the curve of the vector function and indicate the
orientation of the curve.
3. Sketch the curve of the vector function , and indicate the orientation of
the curve.
4. Sketch the curve of the vector function and indicate the orientation
of the curve.
y
5. Find the limit .
6. Sketch the curve of the vector function and indicate the
orientation of the curve.
7. Sketch the curve of the vector function , and indicate the orientation of
the curve.
8. Find a vector function describing the curve of intersection of the cylinder and
the plane