Results 1 to 2 of 2

Math Help - How to do this Areas between curves question?

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    9

    How to do this Areas between curves question?



    a) find the number (A) such that the line x= (A) bisects the area under the curve y= 1/x^2, 1 less than or equal to X which is less than or equal to 4

    b)find the number (B) such that the line y=(B) bisects the area in part a)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Pur
    Pur is offline
    Newbie
    Joined
    Nov 2008
    Posts
    14
    Determine area:
    a...
    \int_1^4 \frac{1}{x^2}dx=\frac{3}{4}
    We want the area that bisects ie. half of the area found above
    \int_1^t\frac{1}{x^2}dx=\frac{3}{8} \Rightarrow t=\frac{8}{5}
    So x=\frac{8}{5}

    b...
    again we want to bisect:
    \int_1^4\frac{1}{x^2}-b \quad dx=\frac{3}{8} \Rightarrow b=\frac{1}{8}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Areas between curves - Which is on top?
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: January 31st 2010, 05:16 AM
  2. areas between curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 14th 2009, 01:57 PM
  3. Areas between curves - Integration
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 18th 2008, 07:49 AM
  4. Areas under and between polar curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 25th 2008, 06:40 PM
  5. Areas Between Curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 10th 2007, 03:21 PM

Search Tags


/mathhelpforum @mathhelpforum