A group of researchers found that people prefer YouTube videos that aren't too long, but not too short either. Suppose these researchers determined that the ratings people gave to a video could be approximated by R(t)=20t/t^2 + 100 where t is the length of the video in minutes and R(t) is its rating. What length of video (in minutes) will get the highest rating?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A group of researchers found that people prefer YouTube videos that aren't too long, but not too short either. Suppose these researchers determined that the ratings people gave to a video could be approximated by
R(t)=20t/t^2 + 100

where t is the length of the video in minutes and R(t) is its rating. What length of video (in minutes) will get the highest rating?

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