Number 
Question 
Answer 
See the work 
1.

Eliminate the parameter t to find a Cartesian equation for:
y=6+4t
where A=______ and B=_____ and C=______

A= 0.0625
B= 3/4
C= 2.25

The work
Point Cost: 3 
2.

Consider the parametric curve:
The curve is (part of ) a circle and the cartesian equation has the form
with R=______ The initial point has coordinates: x= ___, y= ___. The terminal point has coordinates: x= ___ , y=___. The curve is traced________

R= See the work
Initial x= 0 y= 15
Terminal x= 0, y= 15
Traced: clockwise

The work
Point Cost: 1 
3.

Consider the parametric curve: x=4cosø, y=9sinø, π/2≤ø≤π/2
The curve is (part of ) a ellipse and the cartesian equation has the form
with a=________ and b=________ The initial point has coordinates: x= ___, y= ___. The terminal point has coordinates: x= ___ , y=___. The curve is traced________

a= see the work
b= see the work
Initial x= 0, y= 9
Terminal x= 0, y= 9
Traced: Counterclockwise

The work
Point Cost: 2 
4.

Eliminate the parameter to find the cartesian equation of the curve:
x= 8secø, y= 8tanø, π/2<ø<π/2
The equation of the curve is:
x=______

see the work 
The work
Point Cost: 3 
5.

Consider the parametric curve: x=2+15cost, y=4+15sint,
π/2≤t≤3π/2
The cartesian equation of the curve has the form
with h=_____ k=_______ and R=_______ The initial point has coordinates: x= ______, y= _____. The terminal point has coordinates: x= ______, y= ________. The curve is traced________

h= see the work
k= see the work
R= see the work
Initial x= 2, y=19
Terminal x=2, y= 11
Traced: Counterclockwise

The work
Point Cost: 2 
6.

Eliminate the parameter to find the cartesian equation of the curve:
The equation of the curve is: y=______ from x=_____ to x=______

y= see the work
from x= 4 to 4

The work
Point Cost: 3 
7.

Suppose parametric equations for the line segment between (9, 5) and (0,4) have the form:
x=a+bt y=c+dt
If the parametric curve starts at (9,5) when t = 0 and ends at (0,4) at t= 1, then find a, b, c, and d. a=____ b=____ c=____ d=____

a= see the work b= 9 c= see the work d= 9

The work
Point Cost: 2 
8.

Assume time t runs from zero to 2π and that the unit circle has been labled as a clock. Match each of the pairs of parametric equations with the best description of the curve from the following list. A. Starts at 12 o’clock and moves clockwise one time around. B. Starts at 6 o’clock and moves clockwise one time around. C. Starts at 3 o’clock and moves clockwise one time around. D. Starts at 9 o’clock and moves counterclockwise one time around. E. Starts at 3 o’clock and moves counterclockwise two times around. F. Starts at 3 o’clock and moves counterclockwise to 9 o’clock.
1. x= cos(2t); y= sin(2t) 2. x= cos(t); y= sin(t) 3. x= sin(t); y= cos(t) 4. x= sin(t); y= cos(t) 5. x= cos(t); y= sin(t)

1. E
2. D
3. A
4. B
5. C

The work 
9.

The circle
can be drawn with parametric equations.
Assume the circle is traced clockwise as the parameter increases.
If then y=________

see the work 
The work
Point Cost: 3 
10.

The ellipse
can be drawn with parametric equations. Assume the
curve is traced clockwise as the parameter increases.
If then y=________

see the work 
The work
Point Cost: 3 
11.

Assume t is defined for all time. Enter the letter of the graph below which corresponds to the curve traced by the parametric equations.


D 
E 

1. B
2. A
3. D
4. C
5. E

The work 