3.2 Evaluate where z = x + iy with y the path on line from z = 2+i to z = 1 + 2i.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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3.1 Consider the following integral and answer
dz
where C is the equation |z – 3i| =
= 2.
(a) Use the appropriate parametrization to evaluate the given integral.
(b) What can you say about the analyticity of the integrand with respect to the given
curve C.
(c) Give the name of the theorem which you used to come up with your answer in (h)
as a result of the answer found in (a) and also state it in full.
3.2 Evaluate
(x² + y³)d.
where z = x + iy with y the path on line from z= 2+ i tO z =1+ 2i.
Transcribed Image Text:3.1 Consider the following integral and answer dz where C is the equation |z – 3i| = = 2. (a) Use the appropriate parametrization to evaluate the given integral. (b) What can you say about the analyticity of the integrand with respect to the given curve C. (c) Give the name of the theorem which you used to come up with your answer in (h) as a result of the answer found in (a) and also state it in full. 3.2 Evaluate (x² + y³)d. where z = x + iy with y the path on line from z= 2+ i tO z =1+ 2i.
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