1.) If you are given two equations and bounds, how do you eliminate the parameter to find a Cartesian equation of the curve?
2.) If you again are given two equations and bounds, how do you describe the motion of a particle with position (x, y) as t varies in the given interval?
I'm not asking you to do them for me, but how do you set them up to solve them?
Examples:
1.) x = 3 cosx , y = 4 sinx , -pi/2 < x < pi/2
2.) x = 2 + cos t, y = 3 + sin t, 0 < t < 2
The motion takes place on a unit circle centered at (___,___). As t goes from 0 to 2, the particle makes (2, 1, 4, or 3) complete (counterclockwise or clockwise) rotation(s) around the circle, starting and ending at (_____,_____).
For the second one, do you have to convert them into radians first?
2007-04-13
05:48:27
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3 answers
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asked by
Sarah
4
in
Mathematics