Engineering Mathematics Calculus Maxima & Minima

Let š‘“, š‘” āˆ¶ ā„2Ā ā†’ ā„ be defined by

š‘“(š‘„, š‘¦) =Ā \(\rm x^2-\frac{3}{2}xy\) and š‘”(š‘„, š‘¦) = 4š‘„4Ā − 5š‘„2š‘¦ + š‘¦2Ā 

for all (š‘„, š‘¦) āˆˆ ā„2 .

Consider the following statements:

š‘ƒ: š‘“ has a saddle point at (0,0).

š‘„: š‘” has a saddle point at (0,0).

Then

1
both š‘ƒ and š‘„ are TRUE
2
š‘ƒ is FALSE but š‘„ is TRUE
3
š‘ƒ is TRUE but š‘„ is FALSE
4
both š‘ƒ and š‘„ are FALSE
5
Question Not Attempted

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