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Stewart_Calc_7ET ch10sec01
MULTIPLE CHOICE
1. Find parametric equations to represent the line segment from .
a.
b.
c.
d.
e.
2. If a projectile is fired with an initial velocity of meters per second at an angle above
the horizontal and air resistance is assumed to be negligible, then its position after t seconds
is given by the parametric equations
, ,
where g is the acceleration of gravity . If a gun is fired with and
when will the bullet hit the ground?
a.
b.
c.
d.
e.
3. Describe the motion of a particle with position as t varies in the given interval
.
a.
Moves once counterclockwise along the circle starting and ending at
.
b.
Moves once counterclockwise along the ellipse starting and ending
at .
c.
Moves once counterclockwise along the ellipse starting and ending at
.
d.
Moves once clockwise along the ellipse starting and ending at .
e.
Moves once clockwise along the circle starting and ending at
.
NUMERIC RESPONSE
1. If a and b are fixed numbers, find parametric equations for the set of all points P
determined as shown in the figure, using the angle ang as the parameter. Write the equations
for and .
2. Find parametric equations for the path of a particle that moves once clockwise along the
circle , starting at .
3. Eliminate the parameter to find a Cartesian equation of the curve.
4. Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of
the curve.
5. Eliminate the parameter to find a Cartesian equation of the curve.
