Determine the Appropriate Rotation Formulas to Use So That the New

question 106

Short Answer

Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.
- $11 x ^ { 2 } - 4 x y + 7 y ^ { 2 } - 8 x + 8 y = 0$
A) $x = \frac { \sqrt { 2 } } { 2 } \left( x ^ { \prime } - y ^ { \prime } \right)$ and $y = \frac { \sqrt { 2 } } { 2 } \left( x ^ { \prime } + y ^ { \prime } \right)$
B) $x = \frac { 1 } { 2 } x ^ { \prime } - \frac { \sqrt { 3 } } { 2 } y ^ { \prime }$ and $y = \frac { \sqrt { 3 } } { 2 } x ^ { \prime } + \frac { 1 } { 2 } y ^ { \prime }$
C) $x = - y ^ { \prime }$ and $y = x ^ { \prime }$
D) $x = \frac { \sqrt { 2 - \sqrt { 2 } } } { 2 } x ^ { \prime } - \frac { \sqrt { 2 + \sqrt { 2 } } } { 2 } y ^ { \prime }$ and $y = \frac { \sqrt { 2 + \sqrt { 2 } } } { 2 } x ^ { \prime } + \frac { \sqrt { 2 - \sqrt { 2 } } } { 2 } y ^ { \prime }$

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

Evaluate methods for selecting processes for improvement.

Identify the significance of addressing systemic issues within a culture of safety for quality improvement.

Understand the various leading health indicators cited in Healthy People initiatives.

Identify and discriminate among the focal areas and goals of Healthy People 2010 and Healthy People 2020.

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Definitions:

Faucet

A valve controlling the release of liquids, typically water, from a system of pipes.

Hand Hygiene

Practices to remove or kill microorganisms on the hands, which is considered the most important measure to prevent the spread of infections.

Contaminated Supplies

Medical or other supplies that have been exposed to pathogens or pollutants, rendering them unsafe for use.

Central Sterile

Refers to the department within a hospital or medical facility that is dedicated to the sterilization and preparation of medical equipment and instruments for surgery and other procedures.