Determine the number of zeros and poles inside (counted with multiplicity) of the function z6 sin(TZ)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Determine the number of zeros and poles inside (counted with multiplicity) of the function z6 sin(TZ) (1 - z²) (2 - z²) (3 — z7) f(z) inside the disc {z: |Z| <4.5} We have that the zeros of the divisor are given as z = 0 (multiplicity 7), z = +1 (multiplicity 1), z = +2 (multiplicity 1), z = ±3, and z = +4. Nevertheless, when z = +1, we have that both the dividend and divisor are equal to zero - and so those two points are neither zeros nor poles. As such, I reckon the number of zeros and poles (counted with multiplicity) inside the disc {z: z <4.5} are 7 +3.2 = 13 and 2 + 7 = 9. Is this a fair argument? Determine the number of zeros and poles inside (counted with multiplicity) of the function z6 sin(TZ) (1 - z²) (2 - z²) (3 — z7) f(z) inside the disc {z: |Z| <4.5} We have that the zeros of the divisor are given as z = 0 (multiplicity 7), z = +1 (multiplicity 1), z = +2 (multiplicity 1), z = ±3, and z = +4. Nevertheless, when z = +1, we have that both the dividend and divisor are equal to zero - and so those two points are neither zeros nor poles. As such, I reckon the number of zeros and poles (counted with multiplicity) inside the disc {z: z <4.5} are 7 +3.2 = 13 and 2 + 7 = 9. Is this a fair argument?
Expert Answer:
Answer rating: 100% (QA)
Theory For a function aoza za zar bo z b1 b22 bs eq1 Where ai bj for all i and j We can ... View the full answer
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
Posted Date:
Students also viewed these human resource management questions
-
Fusion Computing Fusion Computing Inc. is a two-year-old firm that has been growing rapidly through new product development and geographical expansion. The first budget was completed about nine...
-
A company has been growing rapidly for the last three years. It was profitable before the growth spurt started. Although this year's revenues are almost three times those of three years ago, the firm...
-
Compton Associates is an architectural firm that has been in practice only a few years. Because it is a relatively new firm, the market for the firm's services is very competitive. To compete...
-
help me with questions 10, 11 and 12 to answer them for practiceolin data structures Given the following linked list definitions: struct listRec! string name; listRec *link, ;: nodeType *begin; Code...
-
Describe the equation that provides the structure for the income statement. Explain the three major items reported on the income statement.
-
Find the gradient of the function and the maximum value of the directional derivative at the given point. Function W 1 2 1x - yz Point (0, 0, 0)
-
What are two numbers 13 away from 0 ?
-
The Bruhaha Brewery is planning to expand internationally. The company has identified six critical location factors and their relative weights. The scores for each of the three potential sites are...
-
Q1) The Net Present Value (NPV) measures the difference between the expected value of future cash flows and the present value of upfront costs. How does one account for potential future costs? Q2)...
-
The file P17_19.xlsx contains various data on 325 metropolitan cities in the United States. Cell comments in row 1 explain some of the variables. A Microsoft Data Mining add-in (not discussed here)...
-
20 call center agents need training. The training is one hour long and a max of 4 agents can attend each session. The sessions may not be scheduled back-to-back. The training should be scheduled at a...
-
What is a trial balance, and what is its purpose in accounting?
-
How do you calculate net income from an income statement?
-
The precision and accuracy hold a lot of value in measuring for quality control in project management to which both assist in forming the direction of the process ensuring that end product or service...
-
What is a balance sheet and what does it represent?
-
Discuss personal views on cancel culture, consequence culture, or something in-between (e.g., is it empowering those who are disempowered, what benefits are there, what harms are there? What can we...
-
Pluto Inc., a dairy products manufacturer, recognizes that many customers are passive learners and are generally averse to active information seeking. To reach out to these customers, the company...
-
Banner Company acquires an 80% interest in Roller Company for $640,000 cash on January 1, 2013. The NCI has a fair value of $160,000. Any excess of cost over book value is attributed to goodwill. To...
-
Draw a game tree for nim if the starting position consists of two piles with two and three stones, respectively. When drawing the tree represent by the same vertex symmetric positions that result...
-
Show that if C1 and C2 are conditions that elements of the n-ary relation R may satisfy, then sC1 (sC2(R)) = sC2 (sC1(R)).
-
Do we necessarily get an equivalence relation when we form the transitive closure of the symmetric closure of the reflexive closure of a relation?
-
Describe a mutual fund prospectus.
-
You just inherited $4,000. You need to decide whether to invest this money in a mutual fund, pay down your credit card debt, or simply hold the money in an interest-bearing checking account to pay...
-
Describe the characteristics of a closed-end, open-end, load, and no-load mutual fund.
Study smarter with the SolutionInn App