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

(Authors: Apprich/Abele)

Solution:

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  automatisch erstellt am 21.  4. 2006