Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer: no
Step-by-step explanation:
40-30=10
52-40=12
66-52=14
82-66=16
Each time the difference between two consective weeks gains two minutes, so if the difference between weeks 5 and 4 is =16 minutes then we add two minutes
16+2=18
Then we add the previous time to 18
18+82=100
Week 6 = 100 minutes
So the answer is A. 100