De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Correct answer is E. The primary purpose of Passage 1 is to Highlight a concern.
The passage talks about spam and junk mail in our mail inbox and one has to go through it all to find out real and important mails. This spam mails and the manner they flood our mails in is concerning. This is what the passage highlights. Thus E is the best answer.
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To learn more about spam and junk mail from given link
brainly.com/question/1285899
#SPJ4
Answer:
sorry the equation is confusing
Step-by-step explanation:
and pls fix it and thx.
Answer:
{1, 5, 25, 125, 625}
Step-by-step explanation:
The smallest positive integers that meet the requirement will be ...
5^0 = 1
5^1 = 5
5^2 = 25
5^3 = 125
5^4 = 625
As a set, these numbers are {1, 5, 25, 125, 625}.
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
