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(a)(5pts)Findtheminimumandmaximumoff(x,y,z)=x2+y2+zsubjecttotheconstraintx2+2y2+4z2=1. (b)(2pts)Supposetheconstraintwaschangedtox2+2y2+4z2=1.5.Withoutre-solvingtheproblemunderthenewconstraint,estimatethemaximumvalueoffunderthenewconstraint.

(a)(5pts)Findtheminimumandmaximumoff(x,y,z)=x2+y2+zsubjecttotheconstraintx2+2y2+4z2=1.
(b)(2pts)Supposetheconstraintwaschangedtox2+2y2+4z2=1.5.Withoutre-solvingtheproblemunderthenewconstraint,estimatethemaximumvalueoffunderthenewconstraint.

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