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

question 98

Multiple Choice

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

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

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Definitions:

Atopic Dermatitis

A common chronic skin condition characterized by itchy, inflamed skin, also known as eczema.

Pruritus

The sensation of itchiness that prompts a person to scratch.

Decreasing Pain

The process or measures taken to reduce or alleviate discomfort and suffering in individuals.

Wood's Light

A diagnostic tool that uses ultraviolet light to detect fungal or bacterial infections, or changes in pigmentation on the skin.