The curve $$\(\mathbf{C}\)$$ has equation $$\(y=a x^{3}+b x^{2}-12 x+6\)$$ where $$\(a\)$$ and $$\(b\)$$ are constants. The point $$\(A\)$$ with coordinates $$\((2,-6)\)$$ lies on $$\(\mathbf{C}\)$$ The gradient of the curve at $$\(A\)$$ is 16 Find the $$\(y\)$$ coordinate of the point on the curve whose $$\(x\)$$ coordinate is 3 Show clear algebraic working. $$\(y=\)$$

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