Question: Calculate the complex integral (10 points) (1) $ dz z - 3 = R (R is not determined); (2 points) Z-TC ez (2) $ dz,

Calculate the complex integral (10 points) (1) $ dz z -

Calculate the complex integral (10 points) (1) $ dz z - 3 = R (R is not determined); (2 points) Z-TC ez (2) $ dz, lz - 3| = 1; (2 points) z(z-2i) (3) $ 2z-1 dz, |z| = 2; (2 points) zz-Z dz (4) $ z = 8; (4 points) (z-1)(z-3) (z-5) (z-7)

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!

8 April 14, 2016 In this assignment, we will learn some techniques for calculating line integrals and as an application compute some real integrals with complex techniques. Simply connected domains....

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

Test review MATH 3433 - CALCULUS III ONLINE (7) [15 Points] Let F = (sin(x) +2y+z, 3z+cos(y), 4x -ez) and C' be the positively Exam 5 oriented, closed, triangular curve with vertices at (2, 0, 0),...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

4. (10 points) Section 4.3 Show that S f = 0, where C : |z| = V2 and a. f ( z) = ( 2 + 2) (22 + 3) b . f ( z ) = (z + sin z - 2) COS 2 5. (10 points) Section 4.3 Show that So, f = So, f, where C1 :...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Attached 3 questions with the evaluation method 1 & 2. Remember to state the reason if one of the evaluation method cannot be used. Complex integration: evaluation method 1 Path integral# Given a...

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

On January 1, 2014, Delta Inc. acquired 80% of Sigma Companys outstanding stock for $80,000 cash. Following are the balance sheets for Delta and Sigma immediately before the acquisition, as well as...

The widget market is competitive and includes no transaction costs. Five suppliers are willing to sell one widget at the following prices: $30, $29, $20, $16, and $12. Five buyers are willing to buy...

02.04-PR018 You take out a loan to build a swimming pool in the back yard of your new home. Your equal annual payments are 1/6th of the amount you borrowed. If it will take you 7 years to fully repay...

Answer the following question with the help of the data given below. Accounts Balance Accounts Balance 4,000 Long-term Debt 15,000 Patent 40,000 Prepaid Rent 17,000 Property, Plant & Equipment...

A bullet of mass 2.0 g has a speed of 250 m/s when strikes and penetrates into a fixed thick wooden block. If the bullet travels 25 cm inside the wooden block before it eventually stops, what is the...

Write it in C++ Language. Consider that a system has two entities, Student and Course. The student has the following properties: student name, number, SSN and GPA. Similarly, the course has the...

Q.1. Formulate an algorithm to find the shortest path using Dijkstra's algorithm and explain with example? Q.2. (a) State & explain the algorithm to perform Quick sort. Also analyze the time...

Analyze the following Algorithms. Find their running time and asymptotic notations. Algorithm 1 int fun(int n) int count 0; for (int i 0; i 0; j-) count = count + 1;...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

MOD Corporation manufactures furniture. The ordering costs and carrying costs of the materials for the following order sizes are: pg56 Annual Order size (units) carrying costs Annual ordering costs...

The Atias Atlas Company has a good system of materials inventory control. The schedule below is used to calculate the optimum order quantity necessary to keep costs at a minimum,: plo8 Item Annual...

The McCarthy Corp. uses the following information in order to determine the optimum size of a production run: mki96 Fixed cost of producing.. Labor cost of rearranging. Adjusting machines Variable...