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A Dozen Minima for a Parabola

by Leon M. Hall (University of Missouri-Rolla)

This article originally appeared in:
College Mathematics Journal
March, 2003

Subject classification(s): Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

Except at the vertex, the normal to a parabola at \(P\) intersects it again at a point \(Q\). There are many interesting minimization problems generated by the line segment \(PQ\).

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Capsule Course Topic(s): One-Variable Calculus | Differentiation: General ApplicationsOne-Variable Calculus | Integration: Applications
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