An Open Box Is to Be Made from a Square

question 23

Multiple Choice

An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . If the volume of the box is represented by , determine the domain of .

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Definitions:

Survival

The act of continuing to live or exist, typically in spite of an accident, ordeal, or difficult circumstances.

Human Strengths

The innate capacities and positive qualities that enable individuals to thrive and overcome challenges.

Free-Will

The concept that individuals have the power to make choices that are not predetermined by past events, genetics, or environment.

Psychology

The scientific study of the mind and behavior, exploring various aspects such as perception, cognition, emotion, and social dynamics.