Evaluate the Triple Integral $\iiint _ { E } x d V$

question 19

Multiple Choice

Evaluate the triple integral $\iiint _ { E } x d V$ , where $E = \{ ( x , y , z ) \mid 0 \leq x \leq y , 0 \leq y \leq 1,0 \leq z \leq 1 \}$ .

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 2 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 1 } { 12 }\)
• G) \(\frac { 5 } { 6 }\)
• H)1

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Definitions:

Demand Curves

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers.

Holding Constant

A method in analysis where specific variables are kept unchanged to isolate the effects of other variables.

Substitute Good

A product or service that can be used in place of another to satisfy similar needs or wants, thereby affecting its demand.

Complementary Good

A product or service that is used together with another product or service, increasing demand for one another.