Find All X-Coordinates of Points (X, Y) on the Graph $\frac { x ^ { 3 } } { ( x + 2 ) ^ { 5 } }$

question 30

Short Answer

Find all x-coordinates of points (x, y) on the graph of Q(x) = $\frac { x ^ { 3 } } { ( x + 2 ) ^ { 5 } }$ where the tangent line is horizontal. Enter your answer as just a, or a, b where these are integers and $\text { a }$ < b.

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Definitions:

Chi-Square Test

A statistical method employed to ascertain whether a meaningful discrepancy exists between the anticipated frequencies and the actual frequencies across one or several categories.

Independence

In the context of probability and statistics, refers to events that have no influence on each other's likelihood of occurring.

Random Sample

A sample drawn from a population in such a way that every individual has an equal chance of being selected.

Blood Type

The classification of human blood based on the presence or absence of antibodies and inherited antigenic substances on the surface of red blood cells.