The curve $$\(C\)$$ has parametric equations $$\[ x=\frac{t^{4}}{2 t+1} \quad y=\frac{t^{3}}{2 t+1} \quad t> 0 \]$$ (a) Write down $$\(\frac{x}{y}\)$$ in terms of $$\(t\)$$, giving your answer in simplest form. (1) (b) Hence show that all points on $$\(C\)$$ satisfy the equation $$\[ x^{3}-2 x y^{3}-y^{4}=0 \]$$ (3)

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