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 Answer of 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 $( - 3 , - 2 )$

Solve the Problem f(x,y)=ln⁡(x2+y2)f ( x , y ) = \ln \left( x ^ { 2 } + y ^ { 2 } \right)f(x,y)=ln(x2+y2)

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