Finding Perpendicular or Parallel Lines

Finding Perpendicular or Parallel Lines

Find the coordinates of point \(P\) on the curve \(y = 3x^{2} - 2x + 1\) for which the normal at \(P\) is parallel to the line \(y = 2x - 3\).

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Answer:\(P=\left(\frac14,\frac{11}{16}\right)\)

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