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ASU
MAT 267 -
CONTOUR PLOT AND LEVEL CURVES
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CONTOUR PLOT AND LEVEL CURVESThe "peak" function: z=31−x2e−x2− y12−10x5−x3−y5e−x2−y2−13e−x12−y2CAN YOU IDENTIFY THE LOCAL MAXIMA AND MINIMA BY LOOKING AT THE LEVEL CURVES? HOW ABOUT THE SADDLE POINTS?- 3- 2- 10123- 202051 01 5xyAnswer:x≈1.28, y≈−0.0048 Local Maximumx≈.228, y≈−1.625 Local minimumx≈−.460,y≈−.629 Local Maximumx≈−1.35,y≈.204 Local minimumx≈−0.01,y≈1.58 Local Maximumx≈.296, y≈.320 Local minimumx≈−.266,y≈.467 Saddle pointx≈.416, y≈−.394 Saddle pointx≈1.10, y≈.854 Saddle pointBelow, "m" stands for local minimum, "M" stands for local maximum and "S" stands for Saddle
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