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Math Help - Give the equation of each boundary curve of the region

  1. #1
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    Give the equation of each boundary curve of the region

    Where

    Give the equation of each boundary curve of the region-eq.latex.gif

    It's only worth 1 mark in past papers so it should be pretty simple.
    I'n not what it wants however.

    I've plotted it and know the boundary points are (-1,1) and (2,4).
    But what are the boundary curves??

    Is it x^2<=y<=x+2?
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  2. #2
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    Quote Originally Posted by Roland25 View Post
    Where

    Click image for larger version. 

Name:	eq.latex.gif 
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ID:	11341

    It's only worth 1 mark in past papers so it should be pretty simple.
    I'n not what it wants however.

    I've plotted it and know the boundary points are (-1,1) and (2,4).
    But what are the boundary curves??

    Is it x^2<=y<=x+2?
    on [-1,2] - yes.
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  3. #3
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    The limits of the integrals give you the boundary curves. If you draw the limits you can see that there is a region defined by y=x^2 and y=x+2, the limits on the other integral tell you the values of x for which x^2=x+2, so the boundary curves are y=x^2 and y=x+2
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  4. #4
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    Hi

    Have a look to this post :

    http://www.mathhelpforum.com/math-he...integrals.html

    The sketch has disappeared, here it is :

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