What Is the Minimum Value Of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$

question 20

Multiple Choice

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

• A) \(y = 2\)
• B) \(y = - 25\)
• C) \(y = 5\)
• D) There is no solution.

---

Definitions:

Action Plan

A detailed proposal for doing or achieving something, outlining all the necessary steps and actions.

State of Flow

A mental state where a person performing an activity is fully immersed in a feeling of energized focus, full involvement, and enjoyment in the process of the activity.

Psychological Contact

A concept in psychology that refers to the perception of interaction or connection between individuals, often foundational in therapeutic relationships.

Employee Engagement

The emotional commitment an employee has to their organization and its goals, influencing their willingness to contribute to organizational success.