The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
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Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x - 3)^2
(x - 3)(x - 3)
x^2 - 3x - 3x + 9
x^2 - 6x + 9
Answer:
Step-by-step explanation:
50,000
+ 4,000
+ 800
+ 70
+ 4
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After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.
Given logarithm function is ln (52).
We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.
The easiest way to do this is to make use of a calculator where we can put the value of natural log.
After putting ln (52) in the calculator, we have
ln (52) = 3.951243719
In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.
Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.
Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.
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