91Ó°ÊÓ

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ 12(8-5 i) $$

In Exercises 13-28, express each complex number in polar form. $$ 2 \sqrt{3}-2 i $$

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. $$ x=t^{3}+1, y=t^{3}-1 $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(-1, \frac{5 \pi}{6}\right) $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=10\left(\cos 200^{\circ}+i \sin 200^{\circ}\right) \text { and } z_{2}=5\left(\cos 65^{\circ}+i \sin 65^{\circ}\right) $$

In Exercises 13-28, express each complex number in polar form. $$ -8-8 \sqrt{3} i $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(-2, \frac{7 \pi}{4}\right) $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ -3(16+4 i) $$

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. $$ x=3 t, y=t^{2}-1 $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=4\left(\cos 280^{\circ}+i \sin 280^{\circ}\right) \text { and } z_{2}=4\left(\cos 55^{\circ}+i \sin 55^{\circ}\right) $$