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.

Question

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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.

Answer 1

Answer: A