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3 years ago

PLease help i think it is c

Mathematics

1 answer:

Zanzabum3 years ago

7 0

Answer:

a, b and c

Step-by-step explanation:

in my opinion, I think its a, b and c...

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

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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

Please help! Question posted above ^

emmainna [20.7K]

Answer:

( x^2 - 6 )^2

Step-by-step explanation:

x^4 -12x^2 +36

Find one factor
Factor by grouping

(x^2 - 6x) (x^2 - 6x)

*solution* ( x^2 - 6 )^2

8 0

3 years ago

Should i multiple 35×5 or48×28

natali 33 [55]

You should multiply 35•5

6 0

3 years ago

What is the area of the following trapezoid

nignag [31]

Answer:

d. 130

Step-by-step explanation:

3 0

2 years ago

When having the same radius and height what fraction of a cylinder have the same volume as one cone?

trasher [3.6K]

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

4 0

3 years ago