Josephood7

 Match the graphs of the parametric equations [math] and [math] in A-D with the parametric curves in 1-4.

A. 
B. 
C. 
D. 

 1. 
 2. 
 3. 
 4. 

 Assume time t runs from zero to [math] 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. Enter the appropriate letter (A, B, C, D, E, F ) in each blank.

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. [math] [math]
 2. [math] [math]
 3. [math] [math]
 4. [math] [math]
 5. [math] [math]

 Suppose parametric equations for the line segment between [math] and [math] have the form: [math] If the parametric curve starts at [math] when [math] and ends at [math] at [math], then find [math], [math], [math], and [math].
[math]  ,
[math]  ,
[math]  ,
[math] 

A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the center of the wheel. The wheel begins to roll to the right along the the x-axis. The curve traced out by P is given by the following parametric equations:
[math]
[math]

What must we have for R and d?
R= 
d =