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The Force  F\ { F } (In Newtons) of a Hydraulic Cylinder in a Press Is

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The Force  F\ { F } (in newtons) of a hydraulic cylinder in a press is proportional to the square of secx\sec x where xx is the distance (in meters) that the cylinder is extended in its cycle. The domain of FF is [0,π3]\left[ 0 , \frac { \pi } { 3 } \right] and F(0) =150F ( 0 ) = 150 . Find FF as a function of xx .

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Definitions:

SSR

In statistics, SSR stands for Sum of Squares due to Regression, which measures the variation explained by the regression line.

SSE

A metric indicating the variance between an estimated model's predictions and the actual data, calculated as the sum of squares of errors.

Estimated Regression Equation

A mathematical representation derived from regression analysis that estimates the relationship between variables.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a specified period of time.

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