Determine the Appropriate Rotation Formulas to Use So That the New

question 52

Multiple Choice

Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.
- $$3 x ^ { 2 } + 5 x y + 3 y ^ { 2 } - 8 x + 8 y = 0$$

• A) \(x = \frac { 1 } { 2 } x ^ { \prime } - \frac { \sqrt { 3 } } { 2 } y ^ { \prime }\) and \(y = \frac { \sqrt { 3 } } { 2 } x ^ { \prime } + \frac { 1 } { 2 } y ^ { \prime }\)
• B) \(x = \frac { \sqrt { 2 + \sqrt { 2 } } } { 2 } x ^ { \prime } - \frac { \sqrt { 2 - \sqrt { 2 } } } { 2 } y ^ { \prime }\) and \(y = \frac { \sqrt { 2 - \sqrt { 2 } } } { 2 } x ^ { \prime } + \frac { \sqrt { 2 + \sqrt { 2 } } } { 2 } y ^ { \prime }\)
• C) \(x = \frac { \sqrt { 2 } } { 2 } \left( x ^ { \prime } - y ^ { \prime } \right)\) and \(y = \frac { \sqrt { 2 } } { 2 } \left( x ^ { \prime } + y ^ { \prime } \right)\)
• D) \(x = - y ^ { \prime }\) and \(y = x ^ { \prime }\)

Appreciate the complexity of real-world labor markets and the implications of government intervention.

Understand the concept and implications of price ceilings and floors in markets.

Comprehend the effects of binding minimum wages on labor market outcomes, including employment levels.

Recognize the demographic most affected by minimum wage laws.

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