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​ ​Consider the Functions and ,As Shown Above,in the Above,in

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  ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning.

Consider the functions   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. and   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. ,as shown above,in the closed interval   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. .

-​Let   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. be the vertical distance between the functions.Find the value of x in the open interval   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. ,where   ​ ​ Consider the functions   and   ,as shown above,in the closed interval   . ​ -​Let   be the vertical distance between the functions.Find the value of x in the open interval   ,where   is a maximum value.Explain your reasoning. is a maximum value.Explain your reasoning.


Definitions:

F-Distribution

Used in analysis of variance (ANOVA), describing the ratio of two variances drawn from normally distributed populations.

Degrees of Freedom

The quantity of variable values available in the concluding computation of a statistic.

Variability

A measure of the dispersion or spread of data points in a dataset, showing how much the data points differ from each other.

Sample Standard Deviations

A measure that quantifies the amount of variation or dispersion of a set of sample data values from the mean.

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