Sprint (NYSE: S) has launched a new mobile home page that’s now available on at least 40 of the carrier’s mobile phones. Sprint Web, which rests on technology from ChangingWorlds, makes use of customers’ previous usage to draw up an adaptive home screen that will be unique for each customer. The revamped portal also provides access to Google (NSDQ: GOOG) search, which is now the default mobile search provider for the carrier. The upgrade will appear automatically for any customer that accesses the web on one of the compatible phones. (Release.)