Complex variables: Contour interval, Taylor series
Not what you're looking for?
** Please see the attachment for the full equation **
Find the contour integral (please see the attached file)
where [gamma] is the circle |z| = 4 oriented counterclockwise.
Find the Taylor series of the function f at z_0 and the derivative f^(50) (z_0) when:
1) f(z) = (2z+1)/(z(z-2) at z_0 = 1
2) f(z) = sin z at z_0 = 0
3) f(z) = e^z^2 at z_0 = 0
Purchase this Solution
Solution Summary
In this solution we solve problems involving contour integration and Taylor expansion.
Solution Preview
** Please see the attached file for the complete solution **
1. We wish to evaluate the contour integral:
(please see the attached file)
where (please see the attached file) is the contour (please see the attached file) going counterclockwise.
(please see the attached file)
Since (please see the attached file) is entire, the only poles of the integrand are 0 and (please see the attached ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts