How to use the Mathematica to solve this question? Need help. Thanks! those are

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How to use the Mathematica to solve this question? Need help. Thanks!

those are my first step and I don't know how to continue:

I. Consider a particle moving along the curve given by xy = sin(y). Let t be the time in seconds and r(t) and y(t) give the r and y coordinates of the particle at time t (a) Parameterize this equation by first solving for r. Then choose the parametric equation for y(t) (this can be any function you want, but be mindful of the range of the function). Once you've chosen this, you can determine what the r(t) equation must be. (b) Plot the curve for y [-, ]. (c) Use a green disk to mark the location corresponding to y -r, a blue disk for y 0, and a (d) Find another set of parametric equations for this curve. Mark the locations just like you did (e) How do the two parameterizations compare? They represent the same curve, but what is red disk for y = . above, but use circles instead of disks. different about them?

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