Find the Volume of the Indicated Region $z = 100 - x ^ { 2 } - y$

question 70

Multiple Choice

Find the volume of the indicated region.
-the solid cut from the first octant by the surface $z = 100 - x ^ { 2 } - y$

• A) \(\frac { 80000 } { 3 }\)
• B) \(\frac { 200000 } { 9 }\)
• C) \(\frac { 100000 } { 3 }\)
• D) \(\frac { 400000 } { 9 }\)

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Definitions:

Average Male

A hypothetical or statistical representation of the typical characteristics, behaviors, or attributes of a male individual in a specific population.

Average Female

A term that might refer to the statistical mean or median of certain characteristics (such as age, height, weight) of the female population, though it lacks specificity and context.

Gender Stereotypes

Widely held beliefs about the characteristics and behaviors of males and females that are often culturally defined and perpetuated.

Gender Differences

Refers to the distinctions in characteristics, behaviors, and roles traditionally associated with being male or female, often shaped by biological, social, and cultural factors.