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 = 4.2
Step-by-step explanation:
tan 30° = x/7
tan 30° = 0.6
0.6 = x/7
7*0.6 = x
4.2 = x
Answer:
f(1) = 42
Step-by-step explanation:
Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13
Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.
Step 3: After simplifying you would have f(1)=16+3+13
Step 4: You then just add and get 42
Hope this helped :D
$3.13 is the answer like it please thanks
Answer:
the area is 254.47
Step-by-step explanation:
A=pi sign r²
d=2r
now we solve for the area
A=1/4 pi sign d²=1/4 times 3.14 times 18=254.47
