Evaluate the Integral $\iiint _ { B } f ( x , y , z ) d V$

question 18

Multiple Choice

Evaluate the integral $\iiint _ { B } f ( x , y , z ) d V$ where $f ( x , y , z ) = x y ^ { 2 } + y z ^ { 2 }$ and $B = \{ ( x , y , z ) \mid 0 \leq x \leq 2 , - 1 \leq y \leq 1,0 \leq z \leq 3 \}$ with respect to $x , y$ , and $z$ , in that order.

• A) 28
• B) 36
• C) 4
• D) 24

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Definitions:

Test Statistic

A value calculated from sample data used to make a decision on whether to reject the null hypothesis.

Null Hypothesis

A default hypothesis that there is no significant effect or difference, usually tested against an alternative hypothesis in statistical analysis.

Indicator Variable

A variable used in statistical modeling and analysis that assigns a value of 0 or 1 to note the absence or presence of a particular condition or attribute.

Logistic Regression

A statistical analysis method used for prediction of a binary outcome, based on one or more predictor variables.