Science:Math Exam Resources/Courses/MATH101/April 2012/Question 01 (f)
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Question 01 (f) 

Find the ycoordinate of the centroid of the region bounded by the curves , , and . You may use the fact that the area of this region equals e. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
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Hint 

The formula for the ycoordinate for the centroid is valid when on 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Let and . Notice that between 0 and 1, we have that and so we have completing the question. 