Evaluate the Line Integral $\frac { 1 } { 2 } \int _ { C } x d y - y d x$

question 48

Short Answer

Evaluate the line integral $\frac { 1 } { 2 } \int _ { C } x d y - y d x$ where $C$ is the curve from $( 0,0 )$ to $( 1,0 )$ , to $( 1,2 )$ to $( 0,2 )$ , then to $( 0,0 )$ .

---

Definitions:

Supply Unused

Resources or products that have not been consumed or utilized within a given period, often leading to inefficiencies or increased costs.

Degeneracy

An occurrence in transportation models in which too few squares or shipping routes are being used, so that tracing a closed path for each unused square becomes impossible.

Occupied Squares

A term not standardized in general application, potentially referring to filled or used spaces in specific contexts, but otherwise considered NO.

Dummy Source

A hypothetical or artificial origin point used in various analytical models to simplify problem-solving processes, commonly found in network flow problems and algorithm designs.