Question9. (LOS) Let C is a line between 0 and -2+6i. Calculate $\int_C \frac{1}{z} dz$.
a. -2i b. 10i c. -10i d. -2πi e. i
Question 10. (LO2) Find z such that $z^2 = -2i$.
a. 1 - i, -1 + i
b. -2 - i, 2 + i
c. -i, i
d. -1 - $\sqrt{2}i$, 1 + $\sqrt{2}i$
e. -1 - $\sqrt{2}i$, i
Question 11. (LO2) Let z = $\frac{(- \sqrt{3} - i)}{1 + \sqrt{3}i}$. Find the polar representation of z.
a. $e^{\frac{\pi}{6}}$ b. $e^{\frac{3\pi}{4}}$ c. $e^{\pi i}$ d. $e^{\frac{4\pi}{3}}$ e. $e^{\frac{3\pi}{2}}$
Question 12. (LO2) Let $z_1 = -3 + 4i$, $z_2 = 1 - 2i$. What is Arg($z_1 + z_2$), argument of $z_1 + z_2$?
a. $\frac{\pi}{2}$ b. $\frac{3\pi}{4}$ c. $\pi$ d. $\frac{5\pi}{4}$ e. $\frac{3\pi}{2}$