{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

CalcIVComplexPractice

CalcIVComplexPractice - 1 2 i to 1 2-i If f z = 2 e z z 2-z...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Sample questions for complex integration 1. Let C be the curve z ( t ) = t 2 + it 3 for 0 t 1, and let f ( z ) = e πiz . Compute C f ( z ) dz . 2. Let C be the line segment from i to 1, and let f ( z ) = z · z . Compute C f ( z ) dz . 3. Let C be the curve consisting of the line segment from 1 2 - i to 2 - i , followed by the segment from 2 - i to 2 + i , followed by the segment from 2 + i to 1 2 + i , followed by the segment from
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 2 + i to 1 2-i . If f ( z ) = 2 e z z 2-z , compute R C f ( z ) dz . (Hint: Write f ( z ) as g ( z ) / ( z-z ) and use Cauchy’s integral formula.) 4. Let C be the unit circle, and suppose that f ( x + iy ) = x + iy on C . If f ( z ) is holomorphic on C , what is f (0)? 1...
View Full Document

{[ snackBarMessage ]}