91Ó°ÊÓ

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=\frac{3}{5}\left(\cos 295^{\circ}+i \sin 295^{\circ}\right) \text { and } z_{2}=\frac{4}{10}\left(\cos 55^{\circ}+i \sin 55^{\circ}\right) $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(8, \frac{\pi}{3}\right) $$

In Exercises 29-44, use a calculator to express each complex number in polar form. Express Exercises 29-36 in degrees and Exercises 37-44 in radians. $$ 3-7 i $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (1-i)(3+2 i) $$

In Exercises 21-36, each set of parametric equations defines a plane curve. Find an equation in rectangular form that also corresponds to the plane curve. $$ x=4\left(t^{2}+1\right), y=1-t^{2} $$

In Exercises 29-44, use a calculator to express each complex number in polar form. Express Exercises 29-36 in degrees and Exercises 37-44 in radians. $$ 2+3 i $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=\frac{2}{3}\left(\cos 355^{\circ}+i \sin 355^{\circ}\right) \text { and } z_{2}=\frac{8}{9}\left(\cos 235^{\circ}+i \sin 235^{\circ}\right) $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ (-3+2 i)(1-3 i) $$

In Exercises 21-36, each set of parametric equations defines a plane curve. Find an equation in rectangular form that also corresponds to the plane curve. $$ x=\sqrt{t-1}, y=\sqrt{t} $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(10, \frac{4 \pi}{3}\right) $$