At what point does the line normal to the graph of y = 2 + 4x + 2x² at (1,8) intersect the parabola a second time?
At what point does the line normal to the graph of y = 2 + 4x + 2x² at (1,8) intersect the parabola a second time?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:At what point does the line normal to the graph of y = 2 + 4x + 2x² at (1,8) intersect the
parabola a second time?
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 m then the slope of
the second line is - 1/m
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