Evaluate the Iterated Integral $\int _ { - 1 } ^ { 1 } \int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } d x d y d z$

question 150

Multiple Choice

Evaluate the iterated integral $\int _ { - 1 } ^ { 1 } \int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 1 } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } d x d y d z$ .

• A) \(\frac { 11 } { 3 }\)
• B)8
• C)4
• D)16
• E) \(\frac { 11 } { 6 }\)
• F)2
• G)5
• H)1

---

Definitions:

Enlightenment

An intellectual and philosophical movement in Europe during the 17th and 18th centuries emphasizing reason, individualism, and skepticism towards traditional doctrines.

Laissez-Faire

An economic philosophy of free-market capitalism that opposes government intervention, advocating for businesses to operate with little to no government interference.

Adam Smith

A Scottish economist, philosopher, and author who is considered the father of modern economics, best known for his work "The Wealth of Nations."

Economic Interests

Describes the financial stakes or motivations that influence the decisions and actions of individuals, organizations, or countries.