Tutors Answer Your Questions about Complex Numbers (FREE)
Question 466466: Find all complex roots. Leave your answers in polar form with the argument in degrees.
The complex fourth roots of -9 i.
The answer will be submitted as the following:
z(subscript)k=[cos(__ degrees+__degrees k) + i sin (__degrees+__degrees k)], k=0,1,...,__
(Type the exact answer in the first answer box. Type any angles in degrees between 0 degrees and 360 degrees. Type all degree measures rounded to one decimal place as needed.)
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*If possible, explain each step of this process, I have went through my book and also all over the internet, and have not found any guidelines to use for a negative # with an i.
Thank you for any help you can offer. I am really bad at math, and do not understand this lesson.
Click here to see answer by stanbon(75887)  |
Question 467173: 1-the square root of (x2+165)-the square root of (x2-52)=7.if x is positive find x
2-suppose that m people can do a task in d days. assuming they all work at the same rate, how many days will it take m+r people to do the task. prove answer will be (d.m)/(m+r).
3-what is the smallest value assumed by the polynomial p(x)=4 x2 - 3 x + 8?
please help me with my last 3 for the day as i am in summer school and i don't want to fail. thank you sooooooooooooo very much.
Click here to see answer by Big Poop(157) |
Question 467985: Hi,
I need some help to make sure I am correct on a question? Final exam is due soon, and I want to be certain. Thanks!!
Factor completely:
200w^2+640wg+512g^2
I obtain the answer: 8(5w+8g)^2 Is this correct?
Thanks again!!
Click here to see answer by ewatrrr(24785)  |
Question 468513: Hi! Could someone please help me to know if I am correct on this equation?
Add:(2x^2-9xy+y^2)+(-8x^2-9xy-y^2)+(x^2+xy-3y^2)
I obtain the answer: -5x^2-17xy-3y^2.
Am I correct?
Thanks! Huge final exam due soon!!
Click here to see answer by bucky(2189) |
Question 470738: You have $10,000 that you plan to invest in a compound-interest bearing interest. Your investment agent advises you that you can invest the $10,000 at 8% compounded quarterly for three years or you can invest it at 8 ¼ % compounded annually for three years. Which investment should you choose to receive the most interest? Show your work for calculating the interest for both options.
Click here to see answer by rfer(16322) |
Question 470932: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ?
I have tried and my working are as follows:
r = sqrt ((sqrt3)^2 + 1^2) = 2
alpha = arctan (1/sqrt3) = pi/6
Z = r (cos alpha + i sin alpha)
= 2 (cos pi/6 + i sin pi/6)
= 2 e^i(pi/6)
(sqrt3 + i)^100 = (2e^i(pi/6)^100
= 2^100 x e^i(100pi/6)
= 2^100 x e^i(50pi/3)
= ?
How do I solve from here ?
Click here to see answer by Alan3354(69443)  |
Question 470931: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ?
I have tried and my working are as follows:
r = sqrt ((sqrt3)^2 + 1^2) = 2
alpha = arctan (1/sqrt3) = pi/6
Z = r (cos alpha + i sin alpha)
= 2 (cos pi/6 + i sin pi/6)
= 2 e^i(pi/6)
(sqrt3 + i)^100 = (2e^i(pi/6)^100
= 2^100 x e^i(100pi/6)
= 2^100 x e^i(50pi/3)
= ?
How do I solve from here ?
Click here to see answer by Alan3354(69443) |
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