Determine whether the statement is true or false.If it is true, explain why it is true.If it is false, give an example to show why it is false. If gives rise to a (constrained) relative extremum of
subject to the constraint
, then ,
and
, simultaneously.
A) Let and
, then the point
gives rise to a (constrained) relative extremum(minimum) ,
and
, so the statement is true.
B) Let and
, then the point
gives rise to a (constrained) relative extremum(minimum) ,
and
, so the statement is false.
Correct Answer:
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