A simplified model of the Earth-Mars system assumes that the orbits of Earth and Mars are circular with radii of 2 and 3 respectively, and that Earth completes a complete orbit in one year while Mars takes two years. The position of Mars as seen from Earth is given by the parametric equations x= (3−4 cosπt) cosπt+2,y= (3−4 cosπt) sinπt. a. Graph the parametric equations for 0≤t≤2. b. Letting r= 3−4 cosπt, explain why the path of Mars as seen from Earth is a limacon

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