#11 3/8+5/24=14/24= 7/12
#12 9/20-1/4=9/20-5/20=4/20=
obviously $48.60 would save more.
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.
Learn more about Complex number from:
brainly.com/question/10251853
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The graph of the given function, y = 2eˣ, is given below
<h3>Graph of a function </h3>
From the question, we are to determine the graph of the given function
The given function is
y = 2eˣ
The graph of y = 2eˣ is shown below
Learn more on Graph of a function here: brainly.com/question/16823382
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