(Show all work for full 1500points explain all steps taken and work for a,b,and

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(Show all work for full 1500points explain all steps taken and work for a,b,and c !)

a) Find the parametric equation and parameter interval for the motion for a particle that starts at (a,0) and traces the ellipse (x^2/a^2)+(y^2/b^2)=1, twice counterclockwise

b) For the following parametric equation and paramter interval of the motion of a particle in the xy-plane identtify the particle's path by finding a Cartesion equation for it: x=1+sint , y=cost-2, 0<=t<=pi

c) Find the length of the curve x=t^3 , y=3t^2/2 , for 0=<t<= 3^(1/2). explain the lenght curve used

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(Show all work for full 1500points explain all steps taken and work for a,b,and

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