The point ${P}$ lies on the curve with equation ${y={{x}^{2}}}$, so that its distance from the p

Question

The point ${P}$ lies on the curve with equation ${y={{x}^{2}}}$, so that its distance from the point ${A\left( 10,2 \right)}$ is least. Determine the coordinates of ${P}$ and the distance ${AP}$.

Accepted Answer

${P(2,4)}$; ${d_{\min} = 2\sqrt{17}}$ units

Techniques and Applications Of Differentiation Q4

Techniques and Applications Of Differentiation Q4

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