Mathematik-Online problems: Problem 132: Tangent to Parabola / Minimization of Areas

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematik-Online problems:
	Problem 132: Tangent to Parabola / Minimization of Areas

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Let $f(x)=\frac{1}{2}\,x^2+1$ , for

, and let $P(u\vert f(u))$ be a point of the graph

. The tangent and the normal to

in the point

form, together with the

-axis, a triangular. Which

leads to a minimal area of the triangular?

(Authors: Apprich/Höfert)

Solution:

automatisch erstellt am 14. 12. 2007