Solve the Problem $f ( x , y ) = \ln \left( x ^ { 2 } + y ^ { 2 } \right)$

question 183

Multiple Choice

Solve the problem.
-Let $f ( x , y ) = \ln \left( x ^ { 2 } + y ^ { 2 } \right)$ . Which one of the following curves is a simple closed path in the domain of the function $\mathrm { f }$ ?

• A) The unit circle \(( x - 5 ) ^ { 2 } + y ^ { 2 } = 1\)
• B) The ellipse \(\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1\)
• C) The unit circle \(x ^ { 2 } + y ^ { 2 } = 1\)
• D) The rectangle with vertices at \(( - 3,2 ) , ( 3,2 ) , ( 3 , - 2 )\), and \(( - 3 , - 2 )\)

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The rate of return anticipated on a bond if it is held until the call date, which is before the bond's maturity, including all interest payments and the call price.

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