This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: the University of South Carolina’s Honor Code. As a Carolinian, I certify that I have neither given nor received unauthorized aid on this exam. Furthermore, I have not only read but will also follow the above Instructions. I hereby verify that I did NOT receive help from other people on this take-home exam problem. Signature : 1 1. Consider the curve in polar coordinate r = 5 cos (3 θ ) . 1a. The period of r = 5 cos (3 θ ) is . 1a. the period of r = 5 cos (3 θ ) 4 = 1c. Make a chart, as we did in class, to help you graph r = 5 cos (3 θ ). 1d. Graph r = 5 cos (3 θ ). Clearly label the points, in polar coordinates ( r,θ ), where the graph crosses the x-axis or y-axis. 2 2. Express the area enclosed by r = 5 cos (3 θ ) as an integral with respect to θ (ok . .. with respect to θ means a dθ in there). (You do not have to evaluate this integral.) area = 3...
View Full Document