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Math Help - Help needed

  1. #1
    Newbie
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    Apr 2008
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    Help needed

    Can anyone tell me easiest way to solve questions like
    1) Area b/w graphs->f(x)=||x|-2|+||x|-4|;g(x)=|x|+||x|-6|
    2)No of values satisfying the inequation-->|x|+|x-1|+|x+3|<6
    3)Equations in more than one variable like--> no of values satisfying the equation |x+1|+|y+1|<4

    Explain the method as well

    Cheerz!!!
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  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
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    Pennsylvania
    Posts
    3,641

    For the first one

    Quote Originally Posted by nikunj14_83 View Post
    Can anyone tell me easiest way to solve questions like
    1) Area b/w graphs->f(x)=||x|-2|+||x|-4|;g(x)=|x|+||x|-6|
    2)No of values satisfying the inequation-->|x|+|x-1|+|x+3|<6
    3)Equations in more than one variable like--> no of values satisfying the equation |x+1|+|y+1|<4

    Explain the method as well

    Cheerz!!!
    find which is greater on the domain they are bounded by...to do this first find g(x)=f(x)....then set up an integral with limits of integration based on your finds...then you must find f(x)>g(x) on the interval...if that is true the area between is \int_a^{b}f(x)-g(x)dx...if f(x)<g(x) on the interval...then it is the negative of the integral I gave you
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