Determine Whether the Statement Is True or False

question 110

Multiple Choice

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.
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• A) Let and , then the point gives rise to a (constrained) relative extremum(minimum), and , so the statement is false.
• B) Let and , then the point gives rise to a (constrained) relative extremum(minimum), and , so the statement is true.

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