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Estimation is over or under estimate

  1. Aug 3, 2011 #1
    1. The problem statement, all variables and given/known data
    If y''=-y^2, is this approximationg an over-estimation or an underestimation of the exact area?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 3, 2011 #2

    Dick

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    Area of what? y''=(-y^2) is a differential equation. What does that have to do with an area?
     
  4. Aug 3, 2011 #3
    I think this problem has to do with this equation... bc my teacher wrote it as a new problem and it confused me..

    Write the Reimann sum that will approximate the area under the graph of the function y=f(x) that is continuous and postive over the interval [1,5] with n=8 using the right endpoint evaluation.
     
  5. Aug 3, 2011 #4

    Dick

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    Ok, so to decide whether it is an overestimate or underestimate without actually solving the differential equation you need to at least decide whether y(x) is decreasing or increasing on [1,5]. Can you figure out how to do that?
     
  6. Aug 4, 2011 #5
    Well, I believe you find y' which if f'(x), but not knowing what f is... it's quite confusing on how to find inc or dec on [1,5]. I just know if f'(x) > 0 .. it's inc.
     
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