Science:Math Exam Resources/Courses/MATH101/April 2007/Question 02 (b)
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Question 02 (b) 

FullSolution Problem. Justify your answers and show all your work. Simplification of answers is not required. Find the numbers b such that the average value of the function on the interval is equal to 0. 
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? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

The average value of a function on an interval is 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The questions asks for when . Plugging this into the formula in the hint gives and so we have that or completing the question. 