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dosnt it just mean if it is smaller than or greater than the answer you get from the first application of halving the interval? I.e in this case is it bigger or smaller than 0.5.

Isn't the cook top just something to sit the pan on, I know that you can just put a sheet on newspaper over the top of the cook top to catch any spills so it dosn't have to be ceramic, just non conductive.

Ok well the way I would answer the question would be to start with contrasting past views against the works of Faraday and Einstein. Next i would explain how Faraday's law has changed power distribution and Made it possible to run modern household appliances. Next i'd go into Einstein's work...