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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Determine Whether the Statement Is True or False