Answer:
hello misi how are you doing?
I have attached solution. be careful with your notation because at first I could not figure out because I thought they were 2 separate terms. in fact I believe it is all over the 3×10^7
:)
-3/4
To calculate slope, use the formula
Slope (m) = y2 - y1/x2 - x1
Then choose two points on the line of the graph (as shown in attached file)
Input the values as read from the graph and solve for slope using the graph
Note that the discrepancy in answer is due to the assumption made, no value was given on the graph.
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>
