Let $\mathbf { F } ( x , y , z ) = x \mathbf { j }$

question 154

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x \mathbf { j }$ . Evaluate the line integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ along the rectangular path from $( 0,0,0 )$ to $( 1,0,1 )$ to $( 1,1,1 )$ to $( 0,1,0 )$ to $( 0,0,0 )$ .

• A) \(1\)
• B) \(\sqrt { 2 }\)
• C) \(\sqrt { 3 }\)
• D) \(2\)
• E)\(\frac { \sqrt { 2 } } { 2 }\)
• F) \(\frac { \sqrt { 3 } } { 2 }\)

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Definitions:

Saving

Current income that is not spent on consumption goods. Saving makes it possible for resources to be devoted to investments (like the making of tractors or other equipment used in production).

Investment

The purchase, construction, or development of resources, including physical assets, such as plants and machinery, and human assets, such as better education. Investment expands an economy’s resources. The process of investment is sometimes called capital formation.

Barter Economy

An economic system where goods and services are exchanged directly for other goods and services without the use of money.

Currency

A system of money in general use in a particular country or economic context, serving as a medium of exchange for goods and services.