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Let .

  1. Write the equation of the tangent line at .

    Use the Point-Slope formula.

    Use to calculate the slope at . You already know the point.

  2. Write the equation of the line normal to the curve at .

    Normal lines are means perpendicular to the tangent line at the point of tangency.

  3. Find all points on the graph of with the same slope as in part (b).

    Let the slope in part (b). Solve for . Then find the corresponding -value(s). Write your answer(s) as coordinate point(s).