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May 13th, 2011, 12:44 AM   #1
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Challenging subdividing integration 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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May 13th, 2011, 05:43 AM   #2
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Re: Challenging subdividing integration question

I do not see the fence BC which EF is supposed to be parallel to. Where is BC? That would help in ascertaining where EF should be placed.

BC is a vertical line. But where is it placed? I see it marked in the legend, but fail to see it on the graph. This may be why no one has responded yet.

Also, the graph of $y=\frac{1}{ln(x)}+4$ does not look like what you have when graphed. There is a vertical asymptote at x=1 and a horizontal

asymptote at y=4. The area bounded under the sixth degree polynomial graph and to the right of the asymptote at x=1 would be a good one to work with.

Could the asymptote at x=1 be a fence extending vertically upward?
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