Find the Critical Points of and Classify Each as Maximum

question 34

Essay

Find the critical points of and classify each as maximum, minimum or neither.

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Definitions:

Slope

The measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

API Gravity Degrees

A measure used in the petroleum industry that expresses the density of petroleum liquids relative to water; higher API gravity indicates a lighter oil.

Standardized Residuals

The differences between observed and predicted values, scaled by an estimate of standard deviation.

Covariances

A measure of the degree to which two variables change with respect to each other, indicating the direction of their linear relationship.