Use a CAS to generate a contour plot off(x, y) = 2x2 4xy + y4 + 2for 2 x 2 and 2 y 2
Chapter 13, Problem 21(choose chapter or problem)
Use a CAS to generate a contour plot of
\(f(x, y)=2 x^{2}-4 x y+y^{4}+2\)
for \(-2 \leq x \leq 2\) and \(-2 \leq y \leq 2\), 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)=2x^2 -4xy +y^4 +2
-2 leq x leq 2
-2 leq y leq 2
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