Find the Flux of the Curl of Field F Through $\mathbf { F } = x ^ { 2 } \mathbf { i } + 6 x \mathbf { j } + 9 \mathbf { k } ; \mathrm { S }$

question 54

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = x ^ { 2 } \mathbf { i } + 6 x \mathbf { j } + 9 \mathbf { k } ; \mathrm { S }$ is the upper hemisphere of $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 16$

• A) \(16 \pi\)
• B) 16
• C) \(96 \pi\)
• D) \(\pi\)

---

Definitions:

Financial Regulations

Rules and laws that govern financial institutions, markets, and transactions to maintain stability and protect consumers.

Asia-Pacific Economic Cooperation

A forum for 21 Pacific Rim countries to promote free trade and economic cooperation throughout the Asia-Pacific region.

Global Marketplace

An international system for buying and selling goods and services, where businesses compete on a worldwide scale.

High Cost Labour

Refers to labor that is expensive due to factors like skills, experience, or geographic location, often influencing business decisions.