The diagram shows a sketch of part of the curve with equation $$\(y=x^{2}-\frac{p}{x}\)$$ where $$\(p\)$$ is a positive constant. For all values of $$\(p\)$$, the curve has exactly one turning point and this turning point is a minimum shown as the point $$\(T\)$$ in the sketch. For the curve where the $$\(x\)$$ coordinate of $$\(T\)$$ is -3 (a) find the value of $$\(p\)$$ $$\[ p= \]$$ (4) The line with equation $$\(y=k\)$$ is a tangent to the curve with equation $$\(y=x^{2}-\frac{16}{x}\)$$ (b) Find the value of $$\(k\)$$ $$\(k=\)$$ (3)

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