Let f be meromorphic
functionin G and g be holomorphic function.let gamma be a simple
-closed curve,positively oriented and G- contractible which does
not pass through zeros or poles of f.find the integral of
gf’/f over gamma intermediate of the zeros of f,and function g
Let f be meromorphic functionin G and g be holomorphic function.let gamma be a simple -closed curve,positively oriented and G- contractible which does not pass through zeros or poles of f.find the int...
3. *(7 pts) Find the positively oriented simple closed curve C for which the value of the line integral is the maximum, where C is piecewise smooth.
3. *(7 pts) Find the positively oriented simple closed curve C for which the value of the line integral is the maximum, where C is piecewise smooth.
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that encloses the origin by using a circle of radius r, and r is small enough so that the circle lies entirely inside C given F(x, y) = ? 1)_ 2xyi +(y2 – xº)j Ans (x² + y²)
(20 points) Let and let C' be any simple closed curve in a plane oriented counterclockwise. Please show that the only two possible values for F. dr is 0 or-2π. (Hint) The domain of the vector field does not include the origin. Hence, the origin is seen as a hole. Consider 1) Curve C does not encompass the origin. 2) Curve C does encompass the origin. In this case, use an auxiliary curve that encompasses the origin and is encompassed...