What Value Of $x$ Gives the Minimum Value Of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$

question 45

Multiple Choice

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$ Consider only positive $x$ -values.

• A) \(x = 9\)
• B) \(x = - 7\)
• C) \(x = 3\)
• D) There is no solution.

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Trend Display

A graphical representation that shows the change of one or more variables over time, commonly used in process monitoring and control systems.

Transducer

"A device used to convert physical parameters such as temperature, pressure, and weight into electric signals."

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A label or identifier for analog signals in a system, which represent a range of values, not just binary, to control or monitor devices.

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A secondary name assigned to a tag or variable in programming environments like PLCs, allowing for easier identification or referencing.