Show that (a) Log(1 + i)2 = 2 Log(1 + i); (b) Log(1 + i)2 2

Question:

Show that
(a) Log(1 + i)2 = 2 Log(1 + i);
(b) Log(−1 + i)2 ≠ 2 Log(−1 + i).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

See More Books

Question Posted: Jun 01, 2016 01:39 AM

See More Questions

Show that (a) The set of values of log(i1/2) is (n + 1/4)i (n = 0, 1, 2, ...) and that the same is true of (1/2) log i ; (b) The set of values of log(i2) is not the same as the set of values of 2 log...
Show that 1-1 zi dz = 1 + e-/2 (1 - i), where the integrand denotes the principal branch zi = exp(i Log z) (|z| > 0, < Arg z < ) of zi and where the path of integration is any contour from z = 1 to z...
Show that (a) Log(-ei) = 1 - /2i; (b) Log (1 - i) = ln 2 - /4 i.
After assembly, a finished TV is left turned on for one full day (24 h) to determine whether the product is reliable. On average, two TVs break down each day. Yesterday 500 TVs were produced. What is...
An industrial engineer is considering two robots for purchase by a fiber-optic manufacturing company. Robot X will have a first cost of $80,000, an annual maintenance and operation (M&O) cost of...
Identify some important issues that need to be addressed for the sustainable operation of the cruise industry worldwide. LO.1
The essentials of budget variance analysis including comparisons of the master budget, the flexible budget and actual results. LO.1
What is the problem with time lags in technical analysis and why may the analysis lead to self-fulfilling predictions?
The client records its entire investment portfolio (limited influence) at cost rather than at fair value (Fair value reporting is required) . However, a detailed note to the financial statements...
Multiple Choice Question Select the best answer for each of the following items and give reasons for your choice. a. Which of the following organizations can revoke the right of an individual to...
Show that (a) log e = 1 + 2ni (n = 0,1,2, . . .); (b) log I = (2n + ) i (n = 0, 1, 2, ...); (c) log (- 1 + 3i)} = ln 2 + 2(n + 1/3) i (n = 0, 1, 2, ...).
Show that (a) log(i2) = 2 log i when log z = ln r + i (r > 0, /4 < < 9/4); (b) log(i2) 2 log i when log z = ln r + i (r > 0, 3/4 < < 11/4).
Seal Coatings Company purchased waterproofing equipment on January 2, 2007, for $\$ 475,000$. The equipment was expected to have a useful life of four years, or 21,500 operating hours, and a...
31. What is meant by path? 32. Give the formula for calculating D4 and D8 distance. 33. What is geometric transformation? 34. What is image translation and scaling? 35. Define the term Luminance
1. Explain Brightness adaptation and Discrimination 2.Explain sampling and quantization:
3. Explain about Mach band effect? 4. Explain color image fundamentals. 5. Explain CMY model.
1. Describe the fundamental steps in image processing? 2. Explain the basic Elements of digital image processing:
3. Explain the Structure of the Human eye 4. Explain the RGB model
Why is the slip necessary for the operation of the induction motor?
Which, if any, of the dichloroethene molecules drawn in Data Table II (3.) (4.) and (5.) are geometric isomers? A. B. C. D. cis-1,2-dichloroethene and trans-1,2-dichloroethene...
(a) Use the table of integrals to evaluate F(x) = f(x) dx, where f(x) = 1/(x(1 - x2)) What is the domain of f and F? (b) Use a CAS to evaluate F(x). What is the domain of the function that the CAS...
Use the Table of Integrals on Reference Pages 6-10 to evaluate the integral. a. b. c. « dx/(x2 (4x2 + 9)) /8 arctan 2xdx cos x sinx9
Let Where f is the function whose graph is shown (a) Use the graph to find L2, R2 and M2. (b) Are these underestimates or overestimates of I? (c) Use the graph to find T2. How does it compare with I?...
1. Why might managers of small restaurants decide not to adopt the standard work hour approach to controlling labour cost? (minimum 150 words )
Which statement is true regarding the U.S. GAAP impairment test for limited life intangibles? A. U.S. GAAP impairment is likely to be greater than IFRS impairment. B. The impairment test for limited...
Which of the following is a limitation of both return on investment and residual income? A. Favors large units. B. There is disincentive for high return on investment units to invest. C. Can lead to...

Show that (a) Log(1 + i)2 = 2 Log(1 + i); (b) Log(1 + i)2 2

Question:

Step by Step Answer:

a Observe that And Thus ...View the full answer

Complex Variables and Applications

Students also viewed these Calculus questions