Solve the Initial Value Problem for Y as a Function $$x \frac { d y } { d x } = \sqrt { x ^ { 2 } - 9 } , x \geq 3 , y ( 3 ) = 0$$

question 449

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$x \frac { d y } { d x } = \sqrt { x ^ { 2 } - 9 } , x \geq 3 , y ( 3 ) = 0$$

• A) \(y = 3 \ln \frac { x } { 3 }\)
• B) \(y = \frac { \sqrt { x ^ { 2 } - 9 } } { 3 } - x + 3\)
• C) \(y = \frac { \sqrt { x ^ { 2 } - 9 } } { 3 \sec ^ { - 1 } ( x / 3 ) }\)
• D) \(y = 3 \left[ \frac { \sqrt { \mathrm { x } ^ { 2 } - 9 } } { 3 } - \sec ^ { - 1 } \left( \frac { \mathrm { x } } { 3 } \right) \right]\)

Understand the various categories of quality costs: prevention, appraisal, internal failure, and external failure.

Identify specific examples of prevention costs in quality management.

Identify specific examples of appraisal costs in quality management.

Identify specific examples of internal failure costs in quality management.

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