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Math Help - Calc II problem

  1. #1
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    Calc II problem

    I am trying to approximate the the area of a curve. I can easily do this, it's just that when I look at a graph of this new problem I do not see it a "shaded region...
    Attached Thumbnails Attached Thumbnails Calc II problem-21.gif  
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  2. #2
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    Re:

    Re:
    Attached Thumbnails Attached Thumbnails Calc II problem-graph-2.jpg  
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    Replace x with y and y with x so you just tilt the graphs by 90 degree. And the area stays the same.
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    Re:

    I am just trying to see which equation is on top so I know which one to put first and second into my integral.
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    x = 5y^2 and x = 9 +4y^2

    Thus,

    5y^2 = 9 + 4y^2

    y^2 = 9

    y = +3 (ignoring the bottom point)

    That is where they intersect.
    And chose a point above that and below that and compare values.
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  6. #6
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    Re:

    So in these problem you are give y in terms of x. Opposite of what I am used to dealing with. Can you still solve for y= if you are given this type of problem?

    -qbkr21
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  7. #7
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    How can you find the area of a curve?

    You can not find the area of a curve. You can only find the area of a region.
    Attached Thumbnails Attached Thumbnails Calc II problem-18may2007.jpg  
    Last edited by curvature; May 18th 2007 at 12:36 AM. Reason: add images
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    Re:

    Quote Originally Posted by ThePerfectHacker View Post
    Replace x with y and y with x so you just tilt the graphs by 90 degree. And the area stays the same.
    ThePerfectHacker will this rule work all of time? I mean any time you are given a problem in terms of y instead of x can you just switch the variables and turn in 90 degrees to the right?

    -qbkr21
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  9. #9
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    Quote Originally Posted by qbkr21 View Post
    ThePerfectHacker will this rule work all of time? I mean any time you are given a problem in terms of y instead of x can you just switch the variables and turn in 90 degrees to the right?

    -qbkr21
    Yes.

    All you are doing is turning you head 90 degrees. That is what engineering professors like to say.
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