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:

Fatty Acid Metabolism

The biochemical processes involved in the synthesis and degradation of fatty acids, crucial for energy production and storage in living organisms.

Cis Face

The cis face refers to the side of the Golgi apparatus where proteins and other molecules enter. It is typically oriented towards the endoplasmic reticulum.

Golgi Complex

Organelle composed of stacks of flattened, membranous sacs. Mainly responsible for modifying, packaging, and sorting proteins that will be secreted or targeted to other organelles of the internal membrane system or to the plasma membrane; also called Golgi body or Golgi apparatus

Accepting Vesicles

Vesicles that receive transported materials within the cell, often involved in processes like endocytosis and exocytosis.