91Ó°ÊÓ

Use your graphing calculator in polar mode to generate a table for each equation using values of \(\theta\) that are multiples of \(15^{\circ}\). Sketch the graph of the equation using the values from your table.\(r=3+3 \cos \theta\)

Determine whether the graph of the given equation will be a line, circle, rose curve, lemniscate, cardioid, or limaçon. Use Figures 15-21 to help you identify each equation, but do not actually sketch the graph.\(r=6\)

Write each expression in terms of \(i\). $$\sqrt{-8}$$

Write in terms of \(i\) and then simplify. $$\sqrt{-4} \cdot \sqrt{-9}$$

Write in terms of \(i\) and then simplify. $$\sqrt{-16} \cdot \sqrt{-49}$$

Graph each equation.\(r=2\)

Graph each equation.\(r=3 \sin \theta\)

Graph each equation.\(r=4 \cos 3 \theta\)

Graph each equation.\(r=4 \sin 3 \theta\)

Combine the following complex numbers. $$(7-4 i)-[(-2+i)-(3+7 i)]$$