Provide an Appropriate Response $x$ -Values, If Any, Does the Function $y = \frac { x ^ { 5 } } { 5 }$

question 537

Essay

Provide an appropriate response.
-Over what intervals of $x$ -values, if any, does the function $y = \frac { x ^ { 5 } } { 5 }$ decrease as $x$ increases? For what values of $x$ , if any, is $y ^ { \prime }$ negative? How are your answers related?

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Definitions:

Cold Material

A term that generally refers to material at a temperature significantly lower than the ambient or desired processing temperature.

Heat Exchanger

A device used to transfer heat between two or more fluids, gases, or solids of different temperatures without mixing them.

Condenser

An electrical charge storage device also known as a capacitor. In an A/C circuit, it is a heat exchanger located in the vehicle airflow and subject to the ram air. Cooling of the refrigerant causes it to condense to a liquid state. This results in the refrigerant changing to a liquid state.

Thermodynamics

A branch of physics that deals with the behavior of heat; its principles are used to explain the operation of heat exchangers and A/C operation.