Question

Let $z = 2 e^{10 \pi i/21} $ and $w = e^{\pi i/7}$. Then if \[(z-w)^6 = r e^{i\theta},\]where $r \geq 0$ and $0 \leq \theta < 2\pi$, what is the ordered pair $(r, \theta)$?

Answer 1

Hypovolemic shock is a life-threatening condition that results when you lose more than 20 percent (one-fifth) of your body's blood or fluid supply. This severe fluid loss makes it impossible for the heart to pump a sufficient amount of blood to your body. Hypovolemic shock can lead to organ failure.