91Ó°ÊÓ

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. $$ x=t+1, y=\sqrt{t}, t \geq 0 $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=4\left(\cos 40^{\circ}+i \sin 40^{\circ}\right) \text { and } z_{2}=3\left(\cos 80^{\circ}+i \sin 80^{\circ}\right) $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(3, \frac{5 \pi}{6}\right) $$

In Exercises 1-12, write each expression as a complex number in standard form. If an expression simplifies to either a real number or a pure imaginary number, leave in that form. $$ \sqrt{-16} $$

In Exercises 1-12, graph each complex number in the complex plane. $$ 7+8 i $$

In Exercises 1-12, graph each complex number in the complex plane. $$ 3+5 i $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=2\left(\cos 100^{\circ}+i \sin 100^{\circ}\right) \text { and } z_{2}=5\left(\cos 50^{\circ}+i \sin 50^{\circ}\right) $$

In Exercises 1-12, write each expression as a complex number in standard form. If an expression simplifies to either a real number or a pure imaginary number, leave in that form. $$ \sqrt{-100} $$

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. $$ x=3 t, y=t^{2}-1, t \text { in }[0,4] $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(2, \frac{5 \pi}{4}\right) $$