(a) The curve with equation 2 y 3 + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing wagon. Use a computeralgebra system to graph this curve and discover why. (b) At how many points does this curve have horizontaltangent lines? Find the -coordinates of these points

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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(a) The curve with equation 2 y + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing wagon. Use a computer
algebra system to graph this curve and discover why.

(b) At how many points does this curve have horizontal
tangent lines? Find the -coordinates of these points

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