Question: Show that (a) Log(-ei) = 1 - /2i; (b) Log (1 - i) = ln 2 - /4 i.

Show that
(a) Log(-ei) = 1 - π/2i;
(b) Log (1 - i) = ½ ln 2 - π/4 i.

Step by Step Solution

★★★★★

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Log ei ln ei Arg ri ... View full answer

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

Document Format (1 attachment)

Word file Icon

945-M-C-I (1146).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Show that n log n is O(log n!).

Q:

Show that ei = n - nb1 - nb2 = 0

Q:

Show that (x2 + xy + x log y)3 is O(x6y3).

Q:

Mohammed Yaaseen Gomdah WeBWorK assignment number Assignment 4 W14 is due : 02/10/2016 at 03:00am EST. The (* replace with url for the course home page *) for the course contains the syllabus,...

Q:

Unit 7: Logarithmic Functions Assignment Booklet 7 Name: Date: Unit 7: Logarithmic Functions Unit Assignment Read the course material and complete the practice questions in the Unit 7...

Q:

Unit 7: Logarithmic Functions Assignment Booklet 7 Name: Date: Unit 7: Logarithmic Functions Unit Assignment Read the course material and complete the practice questions in the Unit 7...

Q:

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, ...).

Q:

Q |Page view A Read aloud T Add text A Evaluate the following (without a calculator). (a) log 1000 (b) log 10-342 (c) In(e") Solve for x (use log where necessary) 4 -8 (b) 2- + * = 3Use the...

Q:

Describe an algorithm to generate G2 from G1. [12 marks] How could this algorithm be used to generate the transitive closure of a graph given its adjacency matrix? [5 marks] What is the cost of this...

Q:

please help me solve these with solutions Name: Mathematics 30-2 Applications of Exponents & Logarithms Review 1. If 4log, x = log, 625, then the value of x is a. 5 b. 4 C. 3 d. 1 2. If 2 gz *+log25...

Q:

For each of the following scenarios, use a graph to show how the firms desired capital stock would be likely to change. a. Technological change increases the productivity of capital. b. The Fed...

Q:

1. The formula for the conjugate acid of C20, is 2. The formula for the conjugate base of HPO, is

Q:

E17.20 (LO 3) (Sales with Returns) Organic Growth Company is presently testing a number of new agricultural seed planters that it has recently developed. To stimulate interest, it has decided to...

Q:

Explain what factors cause the aggregate supply curve to shift.

Q:

Evaluate the integral. a. x4/(x - 1) dx b. (5x + 1)/((2x + 1)(x - 1)) dx

Q:

Suppose that F, G, and Q are polynomials and F(x)/Q(x) = G(x)/Q(x) for all except when Q(x) = 0. Prove that F(x) = G(x) for all x.

Q:

If a 0 and is a positive integer, find the partial fraction decomposition of f(x) = 1/xn(x-a) First find the coefficient of 1/(x-a). Then subtract the resulting term and simplify what is left

Q:

In actual practice, managers frequently use the: I. average accounting return method because the information is so readily available II. internal rate of return because the results are easy to...

Q:

Consider a firm with an EBITDA of $ 1 , 1 0 0 , 0 0 0 and an EBIT of $ 1 , 0 0 0 , 0 0 0 . The firm finances its assets with $ 4 , 7 2 0 , 0 0 0 debt ( costing 7 . 7 percent, all of which is tax...

Q:

Suppose you are holding a long position in a French franc futures contract that matures in 76 days. The agreed-upon price is $0.15 for FF 250, 000. At the close of trading today, the futures price...