91Ó°ÊÓ

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (-3+i)-(-2-i) $$

In Exercises \(11-20\), convert each point given in rectangular coordinates to exact polar coordinates. Assume \(0 \leq \theta<2 \pi\). $$ (-\sqrt{3},-1) $$

In Exercises 13-28, express each complex number in polar form. $$ \sqrt{3}-3 i $$

In Exercises 1-20, graph the curve defined by the following sets of parametric equations. Be sure to indicate the direction of movement along the curve. $$ x=2 \sin (3 t), y=3 \cos (2 t), t \text { in }[0,2 \pi] $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=\frac{\sqrt{7}}{2}\left[\cos \left(\frac{\pi}{2}\right)+i \sin \left(\frac{\pi}{2}\right)\right] \text { and } z_{2}=\frac{\sqrt{7}}{4}\left[\cos \left(\frac{\pi}{4}\right)+i \sin \left(\frac{\pi}{4}\right)\right] $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (4+7 i)-(5+3 i) $$

In Exercises 1-20, graph the curve defined by the following sets of parametric equations. Be sure to indicate the direction of movement along the curve. $$ x=4 \cos (2 t), y=t, t \text { in }[0,2 \pi] $$

In Exercises \(11-20\), convert each point given in rectangular coordinates to exact polar coordinates. Assume \(0 \leq \theta<2 \pi\). $$ (2 \sqrt{3},-2) $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=\frac{\sqrt{3}}{3}\left[\cos \left(\frac{8 \pi}{7}\right)+i \sin \left(\frac{8 \pi}{7}\right)\right] \text { and } z_{2}=\frac{\sqrt{2}}{5}\left[\cos \left(\frac{6 \pi}{7}\right)+i \sin \left(\frac{6 \pi}{7}\right)\right] $$

In Exercises 13-28, express each complex number in polar form. $$ -\sqrt{3}+i $$