91Ó°ÊÓ

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (3-4 i)+(7-10 i) $$

In Exercises 13-28, express each complex number in polar form. $$ 1+\sqrt{3} i $$

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. $$ x=1, y=\sin t, t \text { in }[-2 \pi, 2 \pi] $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=9\left[\cos \left(\frac{4 \pi}{3}\right)+i \sin \left(\frac{4 \pi}{3}\right)\right] \text { and } z_{2}=1\left[\cos \left(\frac{\pi}{3}\right)+i \sin \left(\frac{\pi}{3}\right)\right] $$

In Exercises \(11-20\), convert each point given in rectangular coordinates to exact polar coordinates. Assume \(0 \leq \theta<2 \pi\). $$ (-4,4) $$

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

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=13\left[\cos \left(\frac{3 \pi}{10}\right)+i \sin \left(\frac{3 \pi}{10}\right)\right] \text { and } z_{2}=4\left[\cos \left(\frac{7 \pi}{10}\right)+i \sin \left(\frac{7 \pi}{10}\right)\right] $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (5+7 i)+(-10-2 i) $$

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. $$ x=\sin t, y=2, t \text { in }[0,2 \pi] $$

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