Problem of the Week

WEEK FIVE

Solutions due by high noon on Friday, Oct 3.

Show that for any positive integer n, the area enclosed by the polar curve

r = 1 + sin(nθ) + cos2(2nθ)

is

23π / 8

Graphs of the polar curves for n = 1, 2 and n = 3 are shown in the figure on the right (click to zoom in).

You may access a PDF file for the POW here or at the Sakai site.

This problem is brought to you by Prof. Jim DeFranza.

Submit your solutions to Choong-Soo Lee. You may leave a hard copy in his mailbox or submit an electronic file via email or Sakai.  Good luck!

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