An Open Box of Maximum Volume Is to Be Made

question 108

Multiple Choice

An open box of maximum volume is to be made from a square piece of material 22 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) . Write the volume V as a function of x, the length of the corner squares. ​ ​

• A) V = x(22 - 2x)²
• B) V = x + (22 - 2x)²
• C) V = x² + (22 - 2x)
• D) V = x²(22 - 2x)
• E) V = x(22 - 2x)

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Definitions:

Regulator Gene

A gene involved in controlling the expression of one or more other genes, often by producing a protein that can enhance or suppress gene activity.

Transcription

The process of converting DNA into RNA, specifically messenger RNA (mRNA), which then directs protein synthesis.

Repressor Molecule

A protein that inhibits gene expression by binding to the operator or associated silencers.

Operator

In genetics, a segment of DNA to which a repressor protein binds, controlling the transcription of nearby genes.