Suppose That And $\int _ { C _ { 4 } } \vec { F } \cdot \overline { d r } = - 1$

question 35

Short Answer

Suppose that $\int _ { C _ { 1 } } \vec { F } \cdot \overline { d r } = 4 , \int _ { C _ { 2 } } \vec { F } \cdot \overline { d r } = 3 , \int _ { C _ { 3 } } \vec { F } \cdot \overline { d r } = 16$ and $\int _ { C _ { 4 } } \vec { F } \cdot \overline { d r } = - 1$ where C₁ is the line joining (0, 0)to (1, 0), C₂ is the line joining (0, 0)to (3, 0), C₃ is the line joining (0, 0)to (0, 1)and C₄ is the line joining (0, 1)to (0, 2).
Determine, if possible, the value of the line integral of $\vec{F}$ along the line from (0, 1)to (1, 0).If the value cannot be determined, say so.

---

Definitions:

Increase in Supply

A scenario where there is a growth in the availability of a product or service, often due to improvements in technology or increases in input resources.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level in a specified period.

Agricultural Economist

A professional specializing in the study and application of economic principles within the agricultural sector, focusing on maximizing efficiency and productivity.

Corn Prices

The cost at which corn is bought or sold, which can fluctuate based on factors like supply, demand, and market conditions.