What Is the Minimum Value Of $y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?$

question 96

Multiple Choice

What is the minimum value of $y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?$ Consider only positive $x$ -values.

• A) \(y = 2\)
• B) \(y = 609\)
• C) \(y = 7\)
• D) There is no solution.

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Definitions:

Unconscious Conflicts

Mental struggles largely beyond the awareness of an individual, often stemming from repressed feelings or experiences.

Social Skills Training

A form of behavior therapy used to improve interpersonal skills through learning and practicing new behaviors.

Modelling

A learning method where individuals ascertain how to act or perform by observing another individual.

Behavioural Rehearsal

A therapeutic technique involving the practice of desired behaviors in a safe setting to improve real-world application, often used in social skills training.