一些列的题目.considerthefunctionf(x,y)=2x^3+6xy^2-3y^3-150xconsiderthefunctionf(x,y)=2x^3+6xy^2-3y^3-150x（1）provideappropriateplotsofthefunctionfthatillustrateitsshape.(2)Findallstationarypointsoffandclassifyt
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一些列的题目.considerthefunctionf(x,y)=2x^3+6xy^2-3y^3-150x
considerthefunctionf(x,y)=2x^3+6xy^2-3y^3-150x
（1）provideappropriateplotsofthefunctionfthatillustrateitsshape.
(2)Findallstationarypointsoffandclassifythemasminima,maximaandsaddlepointsusingseparatelythediscriminantcriterionandtheeigenvaluesoftheHessian.
(3)Plotthegradientoffalongsideacontourplot.
(4)Setupandsolveanappropriatedifferentialequationtofindthemaximaoff(x,y)numerically.
不一定要全做啦.多多益善.
-额、好歹回答的人做几个题目嘛-
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