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Answer on Calculus Question for Samantha

Question #5413
Find relative extrema (if it exists) using first partials test of the following functions
1.) f(x,y)=xy
2.) f(x,y)=e^(-x^2-y^2)
Expert's answer
1)
<img style="width: 243px; height: 142px;" src="data:image/png;base64,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" alt="">
y=0 -& extreme point
<img style="width: 95px; height: 84px;" src="data:image/png;base64,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" alt="">
<img style="width: 226px; height: 42px;" src="data:image/png;base64,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" alt="">
x=0 -& extreme point
2) f(x,y)=e^(-x^2-y^2)
<img style="width: 148px; height: 166px;" src="data:image/png;base64,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" alt="">
x=0 -& extreme point
f(x,y)=e^(-x^2-y^2)
<img style="width: 150px; height: 150px;" src="data:image/png;base64,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" alt="">
y=0 -& extreme point

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