The equation of a curve is such that $$\(\frac{\mathrm{d} y}{\mathrm{~d} x}=4 x-3 \sqrt{x}+1\)$$. Find the $$\(x\)$$-coordinate of the point on the curve at which the gradient is $$\(\frac{11}{2}\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

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