Mathematik-Online problems: Problem 111:

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematik-Online problems:
	Problem 111:

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

A terrain's profile can be approximated by the function

$\displaystyle f(x)=\left\{\begin{array}{lcl} -\frac{1}{15}\,x^2+\frac{1}{5}\,x ... ...frac{2}{5}\,x-\frac{3}{5}, & {\mbox{f\uml ur}} & x\in (3,6] \end{array}\right.$

The two mountains are to be linked via a cableway that is to approach both mountains tangentially to the profile's curve above zur obigen Profilkurve verläuft (see illustration).

$\includegraphics[width=11cm]{g16_bild1}$

Where must the stations

and

be built - and how long is the cableway (neglecting its sag)?

(Authors: Apprich/Abele)

see also:

Keyword: Tangent

[Solutions]

automatisch erstellt am 21. 4. 2006