Evaluate the Iterated Integral $\int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 3 } \sin \phi \cos \phi d \rho d \phi d \theta$

question 206

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 3 } \sin \phi \cos \phi d \rho d \phi d \theta$ .

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

---

Definitions:

Oven

An enclosed compartment, usually part of a stove, used for cooking and baking.

Factory Supplies

Items used in the manufacturing process that are not directly part of the final product, including cleaning supplies, tools, and machinery maintenance materials.

Factory Overhead

All indirect costs associated with the production process, such as utilities, maintenance, and management salaries.

Used

Previously owned or operated, indicating items or equipment that are not new and have been utilized before.