91Ó°ÊÓ

Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$r=4 \csc \theta$$

Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$r=6 \sec \theta$$

Use a graphing utility to graph the polar equation. $$r=2+4 \cos \theta$$

Using words and no symbols, describe how to find the \(\mathrm{d}\) product of two vectors with the alternative formula $$\mathbf{v} \cdot \mathbf{w}=\|\mathbf{v}\|\|\mathbf{w}\| \cos \theta$$

Find all the complex roots. Write roots in polar form with \(\theta\) in degrees. $$\text { The complex square roots of } 25\left(\cos 210^{\circ}+i \sin 210^{\circ}\right)$$

In Exercises \(65-68,\) a vector is described. Express the vector in terms of i and \(\mathbf{j}\). If exact values are not possible, round components to the nearest tenth. A plane approaches a runway at 150 miles per hour at an angle of \(8^{\circ}\) with the runway.

Describe how to find the angle between two vectors.

Convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. $$r=\sin \theta$$

Find all the complex roots. Write roots in polar form with \(\theta\) in degrees. $$\text { The complex cube roots of } 8\left(\cos 210^{\circ}+i \sin 210^{\circ}\right)$$

Use a graphing utility to graph the polar equation. $$r=2+4 \sin \theta$$