Question

. In this question, i ? C is the imaginary unit, that is, the complex number satisfying i^2 = ?1. (a) Verify that 2 ? 3i is a root of the polynomial f(z) = z^4 ? 7z^3 + 27z^2 ? 47z + 26 Find all the other roots of this polynomial. (b) State Euler’s formula for e^i? where ? is a real number. (c) Use Euler’s formula to prove the identity cos(2?) = cos^2 ? ? sin^2 ? (d) Find all solutions to z^3 = 1 in both polar form (z = re^i?, where r > 0 and 0 ? ? < 2? are real numbers) and rectangular form (z = a + ib, where a and b are real numbers).

Answer #1

Please Use C++
I tried to calculate complex number by using *= and
operator /=
but I got an incorrect result compared with the result
of complex number calculator
For example,
When I calculate ( (c5 *= c4) *= c4) by using my
operator function, the result was 1.08288e+06+1.11262e+07i on
output,
However, when using a complex calculator, the result was
= −253987.448 − 355181.112i, so I got the wrong answer
There is my code below. It compiles well, but my...

When plotted in the complex plane for , the function f () =
cos() + j0.1 sin(2) results in a so-called Lissajous figure
that resembles a two-bladed propeller.
a. In MATLAB, create two row vectors fr and fi corresponding to
the real and imaginary portions of f (), respectively, over a
suitable number N samples of . Plot the real portion against the
imaginary portion and verify the figure resembles a propeller.
b. Let complex constant w = x +...

So if we can find a number r satisfying r2=b2−4ac, then we can
solve for z in terms of a,b,c and r as
z=−b2a±r2a.
Hopefully you can recognize the usual quadratic formula here. If
b2−4ac is a positive real number, we usually just replace r with
b2−4ac−−−−−−−√.
However if b2−4ac is a negative real number, or in fact a
general complex number---which will happen if a,b and c are complex
numbers---then there is no canonical b2−4ac−−−−−−−√, but we could
still...

Fix a positive real number c, and let S = (−c, c) ⊆ R. Consider
the formula x ∗ y :=(x + y)/(1 + xy/c^2).
(a)Show that this formula gives a well-defined binary operation
on S (I think it is equivalent to say that show the domain of x*y
is in (-c,c), but i dont know how to prove that)
(b)this operation makes (S, ∗) into an abelian group. (I have
already solved this, you can just ignore)
(c)Explain why...

Basic probability for Discrete math problem: (I am mostly
interested in part c,d,and e if you can't do them all. will rate
asap)
Imagine a fictional scenario where a new area code 229 has just
been assigned to Los Angeles. To request a phone number with this
new area code, a computer program randomly generates a 7-digit
number s1s2s3 − s4s5s6s7. That is for i = 1, 2, ... , 7, a random
number generator picks a number from 0...

The decimal values of the Roman numerals are:
M
D
C
L
X
V
I
1000
500
100
50
10
5
1
Remember, a larger numeral preceding a smaller numeral means
addition, so LX is 60. A smaller numeral preceding a larger numeral
means subtraction, so XL is 40.
Assignment:
Begin by creating a new project in the IDE of your choice. Your
project should contain the following:
Write a class romanType. An object of romanType should have the
following...

1. Suppose we have the following relation defined on Z. We say
that a ∼ b iff 2 divides a + b. (a) Prove that the relation ∼
defines an equivalence relation on Z. (b) Describe the equivalence
classes under ∼ .
2. Suppose we have the following relation defined on Z. We say
that a ' b iff 3 divides a + b. It is simple to show that that the
relation ' is symmetric, so we will leave...

I have solved the problem up to number 6. all my answers
from 7 keeps coming up incorrect. That is where i need the help.
Thank you
Note: This problem is for the 2018 tax
year.
Daniel B. Butler and Freida C. Butler, husband and wife, file a
joint return. The Butlers live at 625 Oak Street in Corbin, KY
40701. Dan's Social Security number is 111-11-1112, and Freida's is
123-45-6789. Dan was born on January 15, 1967, and Freida...

Beth R. Jordan lives at 2322 Skyview Road, Mesa, AZ 85201. She
is a tax accountant with Mesa Manufacturing Company, 1203 Western
Avenue, Mesa, AZ 85201 (employer identification number 11-1111111).
She also writes computer software programs for tax practitioners
and has a part-time tax practice. Beth is single and has no
dependents. Beth was born on July 4, 1972, and her Social Security
number is 123-45-6789. She wants to contribute $3 to the
Presidential Election Campaign Fund.
The following information...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

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