The discussion revolves around calculating the area between a circle defined by r=1 and a cardioid defined by r=1+cos(θ) using double integrals. Participants express confusion regarding the setup and interpretation of the problem.
The discussion is ongoing, with participants sharing their attempts to visualize the problem and clarify the setup. Some guidance on considering symmetry and the regions of integration has been suggested, but no consensus has been reached.
Participants note ambiguity in the problem's wording and the need for a clear understanding of the regions defined by the circle and cardioid. There are references to missing information in visual representations.
I did make a picture I am confused by the little piece of the cardoid that isn't in the first quadrant.BvU said:
stolencookie said:
As shown in BvU's graph, the region of integration is entirely on the left side of the vertical axis. What is ##\theta## at the upper intersection point? At the lower intersection point? There is also some symmetry you can take advantage of.stolencookie said:
Ambiguous -- in the picture a small piece is missing because I simply didn't grab the full ##\theta## range for the red curvestolencookie said:
