Use a CAS Integration Utility to Evaluate the Triple Integral $$F ( x , y , z ) = ( 1 + x + y + z ) ^ { 2 } \text { over the rectangular cube } 0 \leq x , y , z \leq 2$$

question 142

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $$F ( x , y , z ) = ( 1 + x + y + z ) ^ { 2 } \text { over the rectangular cube } 0 \leq x , y , z \leq 2$$

• A) 152
• B) 136
• C) 128
• D) 144

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Definitions:

Covariances

A measure that indicates the extent to which two variables change together, determining the degree of their correlation.

Expected Return

The weighted average of all possible returns for an investment, with weights being the probabilities of each outcome.

Standard Deviation

A statistical measure of the dispersion of returns for a given security or market index, indicating how much returns can deviate from the average return.

Correlation

A statistical measure indicating the degree to which two variables' movements are associated with each other, ranging from -1 (perfect negative correlation) to 1 (perfect positive correlation).