Calculate the Circulation of the Field F Around the Closed

question 172

Multiple Choice

Calculate the circulation of the field F around the closed curve C.
- $$\mathbf { F } = \mathrm { y } ^ { 3 } \mathbf { i } + \mathrm { x } ^ { 2 } \mathbf { j } ; \text { curve } \mathrm { C } \text { is the counterclockwise path around the triangle with vertices at } ( 0,0 ) , ( 4,0 ) , \text { and } ( 0,3 )$$

• A) 0
• B) - 11
• C) 43
• D) 11

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Definitions:

Efficient Allocations

The process of distributing resources in a way that optimally utilizes them to achieve maximum productivity and utility without any wastage.

Federal Gasoline Tax

A tax imposed by the federal government on the sale of gasoline, used primarily to fund transportation infrastructure projects like highways and bridges.

Substitutes

Products or services that can replace each other in use, such that an increase in the price of one leads to an increase in the demand for the other.

General Equilibrium

A condition in economics where supply and demand are balanced across all markets in the economy simultaneously.