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Mathematics
Calculus
243 parametric equations and motion direction
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[QUOTE="karush, post: 6776276, member: 703413"] 11.1 Parametric equations and a parameter interval for the motion of a particle in the xy-plane given. Identify the paritcals path by finding a Cartestian equation for it $x=2\cos t, \quad 2 \sin t, \quad \pi\le t \le 2\pi$ (a) Identify the particles path by finding a Cartesian Equation the Cartesian equation is $$x^2+y^2=4$$ (b) Indicate the portion of the graph traced by the particle and the direction of motion so if $x=2cos{(\pi)}=-2$ and $x=2cos{(2\pi)}=2$ then $$-2\le t \le 2$$ and the particle moves in a clockwise direction[ATTACH=CONFIG]9217._xfImport[/ATTACH] ok, I think this is correct but I got the carresian equation just by ploting the parametric into desmos and saw that it was a circle with a radius of 2. the examples didn't the normal steps also obviously I just pluged into see the direction of motion so... I was going to try to use tikx on this but didn't how to use an interval be cute to put an arrow also [/QUOTE]
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Calculus
243 parametric equations and motion direction
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