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Math Help - not sure how to start...

  1. #1
    Junior Member
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    not sure how to start...

    A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^{8} from x=-1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.


    I'm not really sure how to approach it, thanks for your help!
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    I'll help you as much as I helped the other guy

    Remeber that the work done by something is equal to \int_a^{b}F(x)dx where F(x) is the force equation given by ma where one of those is variable(hint a= the force of gravity)

    Good luck!
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  3. #3
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    right, I understand that equation, but I dont know how to get there with the data in the problem
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Ok

    It is best with pictures so I am going to defer you to this...Go to google and type in visual calculus go to the first web site...once there go to applications of integration...go the very bottom it says work...click on the tutorial and watch the one that talks about moving water out of a vat...it is exactly the same as yours...sorry I would help you but its gibberish without pictures....goodluck!
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