Find the minimum and maximum values of the function f(x,y,z)=x^7-y^4-z^7subject to the constraint x2-y2+z=0. (Use symbolic...

   

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Find the minimum and maximum values of the function f(x,y,z)=x^7-y^4-z^7subject to the constraint x2-y2+z=0. (Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.) Find the minimum and maximum values of the function f(x,y,z)=x^7-y^4-z^7subject to the constraint x2-y2+z=0. (Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.)