2. (10 points) Let y₁ be the red circle and y2 be the blue curve drawn below: S nd f S and that each curve is travelled
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2. (10 points) Let y₁ be the red circle and y2 be the blue curve drawn below: S nd f S and that each curve is travelled
2. (10 points) Let y₁ be the red circle and y2 be the blue curve drawn below: S nd f S and that each curve is travelled once in the direction indicated. Suppose f(z) is an entire function and f(z) z4-1 = πi. Find f(z) 24-1 S₂²² + (-5-1)2²4 3. (10 points) Let R be the closed rectangular curve with vertices-1-i, 5-i, 5+2i, and -1 + 2i travelled once in that order. Without using the deformation theorem, compute with the assumption that y₁ is smooth -dz. 3+(-5-i)z²+(4+5i)z-4i