Suppose That $f ( x , y ) = 4 x ^ { 2 } + 4.0000 y ^ { 2 } - x$

question 38

Essay

Suppose that $f ( x , y ) = 4 x ^ { 2 } + 4.0000 y ^ { 2 } - x$ Find and classify (as local maxima, minima, or saddle points)all critical points of f.

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Definitions:

Upper-Tail Test

Is a statistical test where the critical area, where we reject the null hypothesis, is located in the upper tail of the distribution.

Two-Tail Test

A statistical test used to determine if a sample is significantly greater than or less than a certain range of values, assessing both ends (tails) of the distribution.

Significant Difference

A statistically meaningful difference between two or more groups or variables, as determined by specific statistical tests.

Price Charged

The amount of money demanded or set as payment for the sale of a good or service.