On Tue, Jul 29, 2014 at 4:04 AM, Bill Gosper <billgosper@gmail.com> wrote:
You people are hard to fool. Three responses--three correct. I.e., nobody bit on (a). But Mike Greenwald gave me an evil idea: Replace (d) by (a) + Integrate[Sqrt[1-x^2],{x,<right intercept>,1}] ≈ 1.32282. --rwg
Mike thinks he would have caught the missing factor of 2. Also, someone did it numerically with the amazingly terse "In[34]:= NIntegrate[Boole[(x + 1) (y + 1) > 1], {x, y} ∈ Disk[]]
Out[34]= 1.35979 Hence (c)" So how about d) (a) +2* Integrate[Sqrt[1-x^2],{x,<right intercept>,1}] ≈ <(numerically wrong) answer to (a)) plus turn (b) into a false equation by giving it the (correct) answer to (c). Would this qualify me for Federal Witness Protection? --rwg
On Mon, Jul 28, 2014 at 1:45 PM, Bill Gosper <billgosper@gmail.com> wrote:
gosper.org/problem9.png Feel free to spoil it, else reply privately. --rwg