The Length, X, of the Side of a Cube with Volume

question 24

Short Answer

The length, x, of the side of a cube with volume V is given by $x(V)=V^{1 / 3}$
.Is the average rate of change of x with respect to V increasing or decreasing as the volume V decreases?

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Definitions:

Deductive Reasoning

A logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Mnemonics

A technique used to improve memory by linking information to visual, auditory, or other memorable cues.

Improve Memory

Techniques or practices intended to enhance the ability to remember information or experiences.

Copula

A word used to link the subject of a sentence to a subject complement, typically a form of the verb “to be.”