Determine Where the Function $f ( x , y ) = \frac { x ^ { 3 } + x y + y ^ { 2 } } { 9 x ^ { 2 } + 8 y ^ { 2 } }$

question 114

Short Answer

Determine where the function $f ( x , y ) = \frac { x ^ { 3 } + x y + y ^ { 2 } } { 9 x ^ { 2 } + 8 y ^ { 2 } }$ is continuous.

---

Definitions:

Biological Theories

Concepts suggesting the biological basis behind various psychological functions and behaviors.

Abnormality

Deviation from the norm or average, often used to describe differences in behavior, physical or mental health that are unusual or not typically observed.

Hospital Of Saint Mary Of Bethlehem

Originally a psychiatric hospital in London, known historically for its association with the treatment of mental illnesses.

Deplorable Conditions

Conditions that are very bad, miserable, or appalling in nature, often in reference to living situations or environments.