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Mathematics-Online problems:

Interactive Problem 1354: Kite around Parabola

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The figure shows a quadrilateral bounded by two tangent lines to a parabola and their two normal lines. The parabola is described by the equation

$\displaystyle y=1-x^2 \,. $


\includegraphics[width=0.5\linewidth]{TdM_08_A1_bild1.eps}


Determine the points $ P$ and $ Q$ as well as the area $ A$ of the shaded region.


Answer:

$ P = \Big($ , $ \Big)$
$ Q = \Big($ , $ \Big)$
$ A = $

(The results should be correct to four decimal places.)


   

(From: Mathematics Contest 2008)
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  automatically generated: 8/11/2017