Question: Only the answer for part (b) and (c) with steps please. Thanks! 2. (a) (4 points) Carefully show that there exist exactly two analytic func-

Only the answer for part (b) and (c) with steps please. Thanks!

2. (a) (4 points) Carefully show that there exist exactly two analytic func- tions fi(z) and f2(z) on D = C \\ [-1, 1] such that the equation w2 + zw+ 22 - 3/4 =0 has the solutions w = fi(z) and w = f2(z). Question 2 continues on the next page. . . Student ID: (b) (3 points) Evaluate the residues of fi(z) and f2(z) at z = 00.Student ID: (c) (3 points) Let I be the circle of center zero and radius 2. Evaluate f1(2) dz, f2 (2) dz. 22 T 22 Hint: Part (b) may be useful

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Please see attachment. All three question need to be answered in narrative format. If you have questions, just let me know. Normal requirement for references are 2 outside our course text....

CSCI 5525 MACHINE LEARNING, Fall 2017, Prof Schrater Homework 1 September 27, 2017 1. For data (x, y) with a joint distribution p(x, y) = p(y|x)p(x), the expected loss of a function f (x) to model y...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

%% Lab 2 - Your Name - MAT 275 Lab %% Example code % Example 1 % NOTE: Delete examples before submission. A = [1 0; 0 -1] A = [1, 0; 0, -1] % NOTE: The two matrices above are the same. We can...

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Objectives 1. Working on a project that utilizes a broad spectrum of knowledge from this course 2. Using various forms of indirect addressing 3. Passing parameters on the stack 4. Extensive...

businesss questions Case study based Individual coursework to meet learning outcomes LO2 and LO3 The following case study will give students the opportunity to examine the range of potential threats,...

ITS man explain all QUESTIONS for the Written Analysis General requirement: Assume you are addressing some concerns by the board of directors by answering the following questions listed in the...

In the past it was like this... Then something happened So now we should do this So the future might be like this Use this outline or something close to it. Here are the assignment specifics:...

3. Assume the weights of adult male pygmy-possums in Australia are normally distributed with a mean of 8.5 g and a standard deviation of 0.3 g. (a) Identify the population and the variable....

The project audit has a life cycle that: Group of answer choices must be led by a Certified Audit Specialist ( CAS ) . is clearly defined, with six events. must meet legal requirements set by the...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...