A group of researchers found that people prefer training films of moderate length; shorter films contain too

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A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on the care of exotic birds, the researchers determined that the ratings people gave for the film could be approximated by

where t is the length of the film (in minutes). Find the film length that received the highest rating.

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