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Math Help - Challenging subdividng intergral question

  1. #1
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    Challenging subdividng intergral question

    After further discussions with his accountant, Mr X is not satisfied that he will make enough profit on this land development using these boundaries. He believes that he can increase his profit by cutting each block of land into two (2) smaller blocks of equal area. In order to do this, he plans to fence another straight boundary EF that is parallel to the fence BC.
    The task is to find the length of the new fence EF which will cut the block of land exactly in half.
    I can't attach any images for some reason. However the equations are: DC, 0.001x^6 - 0.051x5 + 0.87x4 - 5.33x3 + 5.529x2 + 11.781x + 312, DA, -308x + 312, AB, y = 17ln(x) + 4, BC is just a vertical linear line. Any help using the Trapezoidal Method or Simpson's rule would be greatly appreciated. I don't expect you to tell me how to do this question, I'm just asking for a point in the right direction, Thank you.
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  2. #2
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    Quote Originally Posted by Mathsscholar View Post
    After further discussions with his accountant, Mr X is not satisfied that he will make enough profit on this land development using these boundaries. He believes that he can increase his profit by cutting each block of land into two (2) smaller blocks of equal area. In order to do this, he plans to fence another straight boundary EF that is parallel to the fence BC.
    The task is to find the length of the new fence EF which will cut the block of land exactly in half.
    I can't attach any images for some reason. However the equations are: DC, 0.001x^6 - 0.051x5 + 0.87x4 - 5.33x3 + 5.529x2 + 11.781x + 312, DA, -308x + 312, AB, y = 17ln(x) + 4, BC is just a vertical linear line. Any help using the Trapezoidal Method or Simpson's rule would be greatly appreciated. I don't expect you to tell me how to do this question, I'm just asking for a point in the right direction, Thank you.
    Without seeing the original question I have no idea what is going on. But I'd suppose you need to set up some definite integrals with the unknown in the integral terminals, equate integrate and solve for the unknown.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Without seeing the original question I have no idea what is going on. But I'd suppose you need to set up some definite integrals with the unknown in the integral terminals, equate integrate and solve for the unknown.
    The link to the image describing the problem can be found at http://s1183.photobucket.com/albums/x477/mathsscholar/
    The question states that the area is to be subdivided, the functions are the boundaries, I didn't supply BC as it's fairly self explanatory that it's vertical, but the area within all of the boundaries have to be divided to be exactly half the area. The black line is just an example of where the new fence subdividing the land could be, however it won't be there as it's not exactly half the land, I just placed it at the most convenient spot. The equations are: DC, 0.001x^6 - 0.051x5 + 0.87x4 - 5.33x3 + 5.529x2 + 11.781x + 312, DA, -308x + 312, and AB, y = 17ln(x) + 4
    Thanks for the reply, I was thinking along the same lines, but I'm still unsure as to how to do it.
    Last edited by Mathsscholar; May 13th 2011 at 06:10 AM.
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