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--- pow:problem1f20 [2020/09/15 04:57] – created mazur
+++ pow:problem1f20 [2020/10/01 20:46] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 80% round orange|Problem 1 (suggested by Prof. Matt Brin) (due Monday, September 14)>
+A loop of string has fixed length $L$. It is looped around a disk of radius $r$ and
+pulled tight at one point so as to form an "ice cream cone" shape as pictured
+{{:pow:picture.pdf|here}}. Consider the region labeled $A$ that is inside the loop of string,
+but outside the disk. Note that the area of $A$ is zero if either $r=0$ or if $r=L/2\pi$. What value
+of $r$ maximizes the area of the region $A$ and what is this maximum value of the area?
+</box>
+This was our warm-up problem but only
+two solutions were received, from John Giaccio and Yuqiao Huang, both correct. Both solutions
+are similar to the solution discussed in the following link {{:pow:2020fproblem1p.pdf|Solution}}