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:
It says “which” so is it multiple choice??
Also a picture would help!!
There is no. Question it’s telling you the answer
<h2>
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>
Step-by-step explanation:
Angle with horizontal = 15°
Velocity of plane = 272 feet per second angle of ascent is 15 degrees
Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s
Vertical velocity = 70.40 ft/s
Vertical displacement = 14000 ft
We have
Vertical displacement = Vertical velocity x Time
14000 = 70.40 x Time
Time = 198.87 seconds = 3.31 minutes
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet
Answer:It is 7/12
Step-by-step explanation:
because 1 1/3-9/12=7/12
