91影视

Complete the square to describe the conics in Exercises $18-21$.

role="math" localid="1649636875685" $4x+y^2-6y-3=0$

The region between the two loops of the limac赂on$r=\sqrt{3}-2\sin 胃$

Sketch the parametric curve by plotting points.

$x=2t-1,y=3t+5,t鈭�\mathrm{鈩�}$

Graph the equation in the 胃r-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

$r=\sin 2胃$

The polar coordinates for several sets of points are given. Find the rectangular coordinates for each of the points, and then plot and label the points in the same polar coordinate system.

$\left(0,\frac{蟺}{6}\right),\left(0,\frac{蟺}{3}\right),(0,蟺)and(0,-蟺)$

Graphs of polar functions: Use polar coordinates to graph each of the following functions.

$r=3鈭�2\cos 胃$

Graph the equation in the 胃r-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

$r={\cos }^2胃$

In Exercises 16鈥�23 sketch the parametric curve by plotting points$\mathrm{x}={\mathrm{t}}^3鈭�\mathrm{t},\mathrm{y}={\mathrm{t}}^3+\mathrm{t},\mathrm{t}鈭�\mathrm{鈩�}$

Complete the square to describe the conics in Exercises 18鈥�21 .

$y^2-8y-4x^2-8x-13=0$

Graphs of polar functions: Use polar coordinates to graph each of the following functions.

$r^2=鈭�\sin 2胃$