Question

In: Math

(1 point) At what point does the normal to y=(−1)+2x2y=(−1)+2x2 at (1,1)(1,1) intersect the parabola a...

(1 point) At what point does the normal to y=(−1)+2x2y=(−1)+2x2 at (1,1)(1,1) intersect the parabola a second time?
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Hint: The normal line is perpendicular to the tangent line. If two lines are perpendicular their slopes are negative reciprocals -- i.e. if the slope of the first line is mm then the slope of the second line is −1/m

Solutions

Expert Solution

Here the given curve is f(x)= (-1)+2x^2, we have to find the point when the normal to the curve f(x) at the point (1, 1) interests second time to the parabola


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