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Determine Whether the Statement Is True or False

Question 104

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

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