Use the Discriminant to Determine If the Graph of the Equation

question 7

Essay

Use the discriminant to determine if the graph of the equation $13 x ^ { 2 } - 10 x y + 13 y ^ { 2 } - 72 = 0$ is a parabola, an ellipse or a hyperbola, then use a rotation of axes to eliminate the $x y$ - term, and sketch the graph.

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Definitions:

Supervisor

A person with authority to oversee or direct work or workers and to enforce rules or standards.

Men

Adult human males, often explored in studies focusing on biological, social, or psychological differences and similarities compared to women.

Women

Female human beings, especially considered as a distinct social group in contrast to men.

Mood Shift

A change in emotional state that can vary in intensity and duration.