Use a CAS to generate a contour plot off(x, y) = 2y2x yx2 + 4xyfor 5 x 5 and 5 y 5, and
Chapter 13, Problem 22(choose chapter or problem)
Use a CAS to generate a contour plot of
\(f(x, y)=2 y^{2} x-y x^{2}+4 x y\)
for \(-5 \leq x \leq 5\) and \(-5 \leq y \leq 5\), and use the plot to approximate the locations of all relative extrema and saddle points in the region. Check your answer using calculus, and identify the relative extrema as relative maxima or minima.
Equation Transcription:
Text Transcription:
f(x, y)=2y^2 x-yx^2 +4xy
-5 leq x leq 5
-5 leq y leq 5
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