Find the Flux of the Curl of Field F Through

question 234

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = \mathrm { x } ^ { 2 } \mathrm { yi } - 3 x \mathrm { y } ^ { 2 } \mathbf { j } + \ln \mathrm { zk } ; \mathrm { S } : \mathrm { r } ( \mathrm { r } , \theta ) = \mathrm { r } \cos \theta \mathbf { i } + \mathrm { r } \sin \theta \mathbf { j } + 2 \mathrm { rk } , 0 \leq \mathrm { r } \leq 2$ and $0 \leq \theta \leq 2 \pi$

• A) \(- 16 \pi\)
• B) 16
• C) \(- 16\)
• D) \(24 \pi\)

---

Definitions:

Federal Budget Deficit

The financial situation in which the federal government's expenditures exceed its revenues in a given fiscal year, leading to borrowing or debt accumulation.

Fiscal Policy

Policies implemented by the government that involve taxation and expenditure to affect economic activities.

Chronic Deficits

entail persistent and extended periods where expenses exceed revenue, leading to sustained budget shortfalls.

Aggregate Demand

Aggregate demand represents the total demand for goods and services in an economy at a given overall price level and in a given time period.