Evaluate $\int _ { C } \mathbf { F } d \mathbf { r }$

question 229

Multiple Choice

Evaluate $\int _ { C } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y , z ) = \left\langle \frac { z } { x - y } , \frac { z } { y - x } , \ln ( x - y ) \right\rangle$ and C is the circle $( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 1$ in the clockwise direction.

• A) \(6\)
• B)\(- 2\)
• C) \(- 4\)
• D) \(1\)
• E) \(- 6\)
• F) \(2\)
• G)\(4\)
• H)\(0\)

---

Definitions:

Straight Bond Value

The value of a bond that pays a fixed interest rate (coupon rate) and does not have any embedded options such as convertibility or callability.

Convertible Bond

A bond that offers the option to be exchanged for a specific quantity of the issuing company's stock at chosen intervals throughout its tenure, generally at the choice of the person holding the bond.

Call Option

A financial contract giving the buyer the right, but not the obligation, to buy an asset at a specified price within a certain period.

Common Stock

Equity ownership in a corporation, giving holders voting rights and a residual claim on corporate earnings via dividends.