(a) Let w = 1+3i. Express 1/w and 1/w in the form of a + iy....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(a) Let w = 1+3i. Express 1/w and 1/w² in the form of a + iy. (b) Consider the equation 26 +225 -9 24 +60 2³ +65 2²-126 z - 13 = 0 (i) State the number of roots and explain your reasoning. (ii) Given that 2-3i is one root of this equation, find one of the other roots. [3] (c) (i) Express the complex number -32e/7 as a complex number in the form rei where r > 0. (ii) Using the answer to part (i), find all the roots of the equation -32e*i/7 in the form re and sketch them on an Argand diagram. (d) Calculate 20 Σ(1+i)* k=0 [5] and express your answer in the form z + iy.. [11] [11] (a) Let w = 1+3i. Express 1/w and 1/w² in the form of a + iy. (b) Consider the equation 26 +225 -9 24 +60 2³ +65 2²-126 z - 13 = 0 (i) State the number of roots and explain your reasoning. (ii) Given that 2-3i is one root of this equation, find one of the other roots. [3] (c) (i) Express the complex number -32e/7 as a complex number in the form rei where r > 0. (ii) Using the answer to part (i), find all the roots of the equation -32e*i/7 in the form re and sketch them on an Argand diagram. (d) Calculate 20 Σ(1+i)* k=0 [5] and express your answer in the form z + iy.. [11] [11]
Expert Answer:
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these accounting questions
-
An inductor in the form of a solenoid contains 420 turns, is 16.0 cm in length, and has a cross-sectional area of 3.00 cm2. What uniform rate of decrease of current through the inductor induces an...
-
The energy from nuclear fission appears in the form of thermal energy-but the thermal energy of what?
-
Consider a sample of calcium carbonate in the form of a cube measuring 2.005 in. on each edge. If the sample has a density of 2.71 g/xm3, how many oxygen atoms does it contain?
-
You are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet moves in an orbit given by the vector- valued function r. Let r = ||r||, let G represent the...
-
Wang Company deposits all receipts and makes all payments by check. The following information is available from the cash records. Instructions (a) Prepare a bank reconciliation going from balance per...
-
In Exercises 1 through 4, use the method of Example 7.4.1 to find the corresponding least-squares line. (1, 2), (2, 4), (4, 4), (5, 2) Data from Example 7.4.1. Use the least-squares criterion to find...
-
You and two other friends are pushing a car over the rough road ahead. A physicist observing the car's motion claims there is no net force acting on the car. Explain.
-
Order Up, Inc., provides order fulfillment services for dot.com merchants. The company maintains warehouses that stock items carried by its dot.com clients. When a client receives an order from a...
-
6. An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with coefficient of friction , as shown in the figure. At some time, an impulse Jox is applied at a...
-
Byrd Company produces one product, a putter called GO-Putter. Byrd uses a standard cost system and determines that it should take one hour of direct labor to produce one GO-Putter. The normal...
-
Devine Co. is a firm that purchases and sells cement in Arusha. The company annual sales for the previous year was TZS. 7,000,000 of which 80% was credit sales. Due to collection problems experienced...
-
Which of the statements is most correct regarding proper donning and doffing of PPE? Providers are expected to know how to use PPE properly prior to being hired Donning of all PPE should meet the...
-
Multiple Choice Question Based on the table, which field is likely to have the highest MRP? What Does Your Major Pay? Major Median Starting Salary Major Median Starting Salary Chemical engineering...
-
n the computation of basic earnings per share, a company will use the Blank______. Multiple choice question. year-end common shares outstanding beginning-year common shares outstanding...
-
One of the general Medicaid income and asset guidelines states that only a portion of Blank______ income from Social Security benefits, Supplemental Security Income (SSI), and veterans' benefits and...
-
A prospect says that she is a little concerned about the cost of a product so you ask her, "Are you saying that price is the most important thing you are interested in?" This is an example of: a...
-
Compute the missing data indicated by the Question marks from the following. Product 'R' Sales quantity Std.(units) Actual (Units) Price (Unit) Standard 12 Actual 715 ? Sales price variance Sales...
-
Prove that the mean heat capacities C P H and C P S are inherently positive, whether T > T 0 or T < T 0 . Explain why they are well defined for T = T 0 .
-
Indicate, in each of the following situations, the number of exemptions the taxpayers are entitled to claim on their 2012 income tax returns. Number of Exemptions a. Donna, a 20-year-old single...
-
Jan has two jobs during 2012. One employer withheld and paid FICA taxes on $66,600 of Jan's salary, and the other employer withheld and paid FICA taxes on $44,400 in salary paid to Jan. Calculate the...
-
Frank, age 35, and Joyce, age 34, are married and file a joint income tax return for 2012. Their salaries for the year total $83,000 and they have taxable interest income of $4,000. They have no...
-
Based on Exhibit 1, what is the foreign exchange gain resulting from Transaction 3 on the December 31, 2016 fi nancial statements? A . NVK1.70 per ton B . NVK90.75 per ton C . NVK248.54 per ton
-
Which transaction would generate foreign currency transaction exposure for Ambleu? A . Transaction 1 B . Transaction 2 C . Transaction 3
-
Yus determination regarding Transaction 2 should be based on the currency of the: A . loan. B . bank. C . borrower.
Study smarter with the SolutionInn App