Find the Flux of the Curl of Field F Through

question 30

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf{F}=\mathrm{e}^{\mathrm{x}} \mathbf{i}+\mathrm{e}^{\mathrm{y}} \mathbf{j}+6 \mathrm{xy} \mathbf{k} ; \mathrm{S} \text { is the portion of the paraboloid } 2-\mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{z} \text { that lies above the } x y-\text { plane }$

• A) 96
• B) 0
• C) \(- 96 \pi\)
• D) \(- 96\)

---

Definitions:

Subsystem

A component of a larger system that performs a specific role or function within the overall operation, contributing to the system's efficiency and effectiveness.

Work Unit

A functional division or team within an organization that focuses on specific tasks or objectives, often denoted by departmental or project-based assignments.

Chain of Command

The chain of command is an organizational structure in which authority and responsibility are clearly outlined from the top management to the lowest ranks.

Competitive Advantage

A unique attribute or set of attributes that allows an organization to outperform its competitors.