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Tom [10]
3 years ago
11

Part B if u want part A too

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
I dont get the question

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
What two square roots are used to estimate the square root of 67
Georgia [21]
It would be 8.185 since there aren't 2 numbers that evenly go into 67
7 0
3 years ago
Read 2 more answers
Z=y+mx. Solve for x. I need the answer fast
Simora [160]
If you want x, rearrange <span>Z=y+mx as follows:  mx = z - y.  Then div. all 3 terms by m:
        z-y
x = -------    (answer).
          m </span>
8 0
3 years ago
What two fractions are being<br> multiplied?
tiny-mole [99]
I see 2/3 and 1/2 being multiplied
3 0
2 years ago
Ibrar bought a house for £250,000
Alla [95]

Step-by-step explanation:

nope!

because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total

6 0
3 years ago
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