(a) Find the length of the loop of the curve: $3ay^2 = x(x - a)^2$. (…

Question

(a) Find the length of the loop of the curve: $3ay^2 = x(x - a)^2$.

(b) Evaluate $\iint_R (x^2 + y^2) dxdy$ over the annular region $R$ lying between $x^2 + y^2 = 4$ and $x^2 + y^2 = 9$.

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