- #1

- 5

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2cosθ

**r**+ sinθ

**θ**

(Due to formatting limitations, I just made the r_hat and theta_hat components bold-faced)

I know the answer ought to be -(3y

^{2})/[(x

^{2}+y

^{2})+1] but I've tried every variation of the 3 main coordinate transformation eqns that I can think of and haven't gotten anywhere. Those 3 eqns I'm talking about are y=rsinθ, x=rcosθ, and r=sqrt(x

^{2}+y

^{2}).

Any help would be great. (Not hw related, need to get this for some research I'm working on.)