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Tuymaada 1999, Q6

Source: Tuymaada 1999, Q6

July 31, 2012
algebrapolynomialfunctioncalculusderivative

Problem Statement

Can the graphs of a polynomial of degree 20 and the function y=1x40\displaystyle y={1\over x^{40}} have exactly 30 points of intersection?
Proposed by K. Kokhas
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