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You can earn up to 2 Bonus Points toward your Participation Score

Email John LaMaster,  lamaster@pfw.edu, your answers to the following by 11:59 PM Friday, April 16 to earn up to 2 bonus points to your participation score.

a) In the video we explored the graph of the set of parametric equations x = cos(t), y = 5cos(t) − 4.
i.) (+0.5) How are the graphs of the set of parametric equations x = sin(t), y = 5sin(t) − 4 and the graph of the set of parametric equations x = cos(t), y = 5cos(t) − 4 alike?
ii.) (+0.5) How are the graphs of the set of parametric equations x = sin(t), y = 5sin(t) − 4 and the graph of the set of parametric equations x = cos(t), y = 5cos(t) − 4 different?
 Be specific, describing the motion of the sketch as thoroughly as possible.

b) (+1) Create a set of parametric equations x = f(t) and y = g(t) which produces the following motion on the line shown below, restricted on the domain 0 ≤ x ≤ 8. Here's a hint.