This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1. r = 3 2. r = 3 cos ± 5 ex. Construct a polar equation for a circle of radius a with its center at x = a;y = 0. 6 ex. Graph the polar curve: r = cos 2 ± If you graph polar equations by plotting points, you will ±nd it helpful to know the symmetry in polar graphs. 7 Symmetry in Polar graphs: 1. If ( r;± ) is a point on the graph and ( r; ± ± ) is also a point on the graph, then the polar graph is symmetric with respect to the x ± axis (polar axis). 2. If ( r;± ) is a point on the graph and ( ± r;± ) is also a point on the graph, then the polar graph is symmetric with respect to the pole . 3. If ( r;± ) is a point on the graph and ( r;² ± ± ) is also a point on the graph, then the polar graph is symmetric with respect to the y ± axis (the vertical line ± = ²= 2). Tonight’s homework: sketch polar graphs. 8...
View
Full
Document
This note was uploaded on 02/14/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.
 Spring '08
 Bonner
 Calculus, Polar Coordinates

Click to edit the document details