Determine the Appropriate Rotation Formulas to Use So That the New

question 118

Multiple Choice

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

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

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Definitions:

Activity-Based Costing

A costing method that assigns overhead costs to specific activities, providing more accurate insights into the costs of producing a product.

Batch Setup

It refers to the process and costs associated with configuring production equipment or facilities to produce a specific batch of products.

Materials Handling

Materials handling involves the moving, protecting, storing, and controlling of materials and products throughout manufacturing, warehousing, distribution, consumption, and disposal.

Activity Based Costing

A costing method that assigns overhead and indirect costs to specific activities, providing more accurate product costing.