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irina [24]
3 years ago
15

Solve using demoivres theorem

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0
It's difficult to make out, but I think the task is to expand

(\sqrt3-i)^4

Write the number in polar form first:

\sqrt3-i=2e^{-i\pi/6}

By DeMoivre's theorem, you have

(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}

and converting back to Cartesian form, this number is equivalent to

16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)
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Caleb and Mike both score the same amount of points in a game. Caleb has fifteen less than the total number of points. Mike has
elena-s [515]
Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
3 0
3 years ago
Convert 5.06 km to meters.
Gre4nikov [31]

There are 1000 m in one km, so

    5.06 km • 1000m/km = 5060 m

6 0
3 years ago
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Given the arithmetic sequence an = 2 + 4(n − 1), what is the domain for n?
zlopas [31]
The answer should be A the first one
3 0
3 years ago
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The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
vova2212 [387]

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

<h3>What is range of function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

y=2^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

y=2(5)^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

y=(5)^x+2

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

brainly.com/question/2264373

5 0
2 years ago
All of them plzzzzzzzzzzzzz
vladimir1956 [14]
The diamond is parallels
8 0
3 years ago
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