A Conic Has Equation $6 x ^ { 2 } + 3 y ^ { 2 } + x - 3 y = 1 - 3 \sqrt { 3 } x y$

question 28

Essay

A conic has equation $6 x ^ { 2 } + 3 y ^ { 2 } + x - 3 y = 1 - 3 \sqrt { 3 } x y$ .
(a) Use the discriminant to identify the conic.
(a) by graphing the conic with a graphing calculator.
(b) Confirm your answer in part
(c) Find the angle necessary to eliminate the $x y$ - term.

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Definitions:

Discriminative Stimulus

A stimulus that signals the availability of reinforcement or punishment, guiding the organism to respond in certain ways.

Discrimination Training

A process in learning where an individual is trained to respond differently to distinct stimuli based on their attributes or consequences.

Generalization

Responding in the same manner to similar stimuli.

Conditioned Stimulus

A previously neutral stimulus that, after becoming associated with the unconditioned stimulus, eventually comes to trigger a conditioned response.