An electrical technician uses the expression ${}2x^2 - xy + 3y^2$ to model the heat dissipation (in watts) of a circuit component, where $x$ represents the voltage variation and $y$ represents the amperage factor. If the technician identifies a voltage variation $x = -2$ and an amperage factor $y = 3$, what is the total heat dissipation?

When an electrical apprentice substitutes the sensor readings $x = -2$ and $y = 3$ into the circuit load formula ${}2x^2 - xy + 3y^2$, it is safe to omit parentheses around the negative values, because the standard order of operations will automatically manage the negative signs correctly.

A structural engineer uses the formula ${}2x^2 - xy + 3y^2$ to calculate the load-bearing capacity of a support beam. Given a horizontal stress factor $x = -2$ and a vertical tension factor $y = 3$, arrange the following steps in the correct order to evaluate the total load.

Laboratory Reagent Stability Calculation

A quality control technician uses the expression ${}2x^2 - xy + 3y^2$ to calculate the stress tolerance of a machined component. For a specific test where $x = -2$ and $y = 3$, match each part of the evaluation process to its correct numerical value as documented in the technician's manual.

An inventory analyst needs to calculate a warehouse optimization score using the formula ${}2x^2 - xy + 3y^2$, where the zone index is $x = -2$ and the weight factor is $y = 3$. After correctly substituting the values and recalling the standard order of operations, the final calculated score is ____.