Find the Critical Point(s) of the Function

question 176

Multiple Choice

Find the critical point(s) of the function.Then use the second derivative test to classify the nature of each point, if possible.Finally, determine the relative extrema of the function.

• A)(0, 0); relative maximum value: f(0, 0) = 2
• B)(2, 4); relative maximum value: f(0, 0) = 3
• C)(3, 0); relative maximum value: f(0, 0) = 4

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Definitions:

Significance Level

The probability of rejecting a true null hypothesis in hypothesis testing.

Interaction

The mutual or reciprocal action or influence between entities or variables in a study.

Two-factor Factorial Design

An experimental setup that involves two independent variables and examines their interaction as well as the effect of each variable separately on the dependent variable.

Total SS

The total sum of squares, which quantifies the total variation in a dataset by measuring the sum of the squared differences from the mean.