Write each of the following in the form x + iy, where x and y are real

Question:

Write each of the following in the form x + iy, where x and y are real values.

a. (1 + 3i)(2 − i)

b. (4 − 5i)(4 + 5i)

c. (7 − 3i)²

d. (3 − i)⁴

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Apr 09, 2023 05:37 AM

See More Questions

Use the results of Exercise 4.39 and the fact that to find E(Y 2 ) for a binomial random variable. ELY(Y 1)] - E(Y Y) = E(Y) E(Y) = E(Y?) H
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
In 2019, Andes Corporation purchases $1.5 mil-lion of machinery (7-year property) and places it into service in its business. What are Andes' depreciation deductions for 2019 and 2020 in each of the...
Medallion and RIEF (Renaissance Institutional Equity Fund) are both managed by Renaissance Technologies. How do they differ in terms of asset classes, dollar capacity, average holding period of each...
Hydrogen has an electronegativity value between boron and carbon and identical to phosphorus. With this in mind, rank the following bonds in order of decreasing polarity: POH, OOH, NOH, FOH, COH.
A firm needs $1 million in additional funds. These can be borrowed from a commercial bank with a loan at 6 percent for one year or from an insurance company at 9 percent for five years. The tax rate...
Assume that the current measurements in a strip of wire follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes) ${ }^{2}$. What is the probability that a...
Kurts Hardware Store advertises and sells snow blowers each season. The following table provides the annual demand, level of advertising, in dollars, and snowfall, in inches, for the past eight...
How did net income of Walmart as a percentage of total revenues change from fiscal 2 0 1 8 to fiscal 2 0 2 0 ? Identify the most important reasons for this change. Is there a unique item that changed...
Relative to the origin O, the position vectors of the points A and B are given by a. Find a vector equation of the line AB. b. The line AB is perpendicular to the line L with vector equation: i. Find...
Suppose x and y are the populations of two different species. Describe in words how each population changes with time. A kidney removes toxins from the blood. If a kidney does not function, the...
If the rate of change of (x) is zero when x = a, what can be said about the tangent line to the graph of (x) at x = a?
What is the role played by commercial paper in financial disintermediation?
What are the differences between licensing and franchising?
What is translation exposure? How does it differ from transaction exposure?
What are the key elements that a licensing contract should include? What are the clauses that may be the most difficult to enforce?
What is financial disintermediation? Is it desirable?
Briefly trace the history of decision modeling. What happened to the development of decision modeling during World War II?
Solve for the equilibria of the following discrete-time dynamical systems Pr pt+1 = Pr+2.0(I-Pr)
Answer Problem 3.46 for a family with two male siblings in which only one sibling is affected? Suppose that in a family with two male siblings, both siblings are affected with a genetically inherited...
Answer Problem 3.46 for a family with one male and one female sibling in which both siblings are affected? Suppose that in a family with two male siblings, both siblings are affected with a...
Answer Problem 3.48 where only the male sibling is affected? Suppose that in a family with two male siblings, both siblings are affected with a genetically inherited disease. Suppose also that,...
The winner of a lottery is awarded $ 6 , 0 0 0 , 0 0 0 to be paid in annual installments of $ 3 0 0 , 0 0 0 for 2 0 years. Alternatively, the winner can accept a "cash value" one - time payment of $...
What is the current yield on a zero coupon bond with a remaining life of 7 years, a yield to maturity of 1 5 . 0 % , and a par value of $ 1 0 0 0 ? ( Round to 1 0 0 th of a percent and enter as a...
The risk - free rate r f is 2 . 9 % , and the market return r M is 1 0 . 9 % . ' s beta is 0 . 9 . The company's next four dividends are expected to be $ 0 . 7 2 , $ 0 . 8 1 , $ 0 . 9 , and $ 1 . 0 0...

Write each of the following in the form x + iy, where x and y are real

Question:

17-i 3+i

Step by Step Answer:

a 1 3i2 i 12 11i 3i2 3i1i 2 1i 6i 3i2 2 1i 6i 3 5 5i Therefore 1 3i2 i 5 5...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions