91Ó°ÊÓ

Graph the complex number and find its modulus. $$ 5+2 i $$

Test the polar equation for symmetry with respect to the polar axis, the pole, and the line \(\theta=\pi / 2 .\) $$ r=2-\sin \theta $$

\(3-24=A\) pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. (b) Find a rectangular coordinate equation for the curve by eliminating the parameter. $$ x=t+1, \quad y=\frac{t}{t+1} $$

Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\) . $$ (2,3 \pi / 4) $$

Graph the complex number and find its modulus. $$ 7-3 i $$

Test the polar equation for symmetry with respect to the polar axis, the pole, and the line \(\theta=\pi / 2 .\) $$ r=4+8 \cos \theta $$

Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with \(r<0\) and the other with \(r>0\) . $$ (-1,7 \pi / 6) $$

Graph the complex number and find its modulus. $$ \sqrt{3}+i $$

\(3-24=A\) pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. (b) Find a rectangular coordinate equation for the curve by eliminating the parameter. $$ x=4 t^{2}, \quad y=8 t^{3} $$

Test the polar equation for symmetry with respect to the polar axis, the pole, and the line \(\theta=\pi / 2 .\) $$ r=3 \sec \theta $$