Examine the Function $f ( x , y ) = 5 x ^ { 2 } - 8 y ^ { 2 } - 3 x + 8 y + 4$

question 64

Multiple Choice

Examine the function $f ( x , y ) = 5 x ^ { 2 } - 8 y ^ { 2 } - 3 x + 8 y + 4$ for relative extrema.

• A)saddle point at \(\left( \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• B)relative minimum at \(\left( \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• C)saddle point at \(\left( - \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• D)relative maximum at \(\left( \frac { 3 } { 10 } , - \frac { 1 } { 2 } \right)\)
• E)saddle point at \(\left( - \frac { 3 } { 10 } , - \frac { 1 } { 2 } \right)\)

---

Definitions:

Contemporary View

The current perspective or way of thinking about a particular subject, based on the most recent knowledge and understanding.

Interrupting Studying

The act of breaking the continuity of study or concentration, often leading to decreased productivity and retention of information.

Good Manners

Social behaviors that are considered polite and respectful in various cultures and societies.

Roommate

A person with whom one shares a living facility such as a room or apartment but is not related or romantically involved.