Results 1 to 5 of 5

Math Help - finding corresponding values of L9(x)

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    3

    finding corresponding values of L9(x)

    http://www.flickr.com/photos/4882931...18204/sizes/l/



    Its number 5.
    The value was changed to plus/minus 0.05
    How should i go about solving this problem?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Mar 2010
    Posts
    3
    bump...
    anyone? i need to have this figured out by tomorrow >.<
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    17,182
    Thanks
    2092
    Since no one here has any idea what you mean by "L9(x)", I don't see how anyone can help you.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2010
    Posts
    3
    It means the linearization (tangent line) at x=9
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    17,182
    Thanks
    2092
    The derivative of \sqrt{x}= x^{1/2} is (1/2)x^{-1/2}= \frac{1}{2\sqrt{x}}. At x= 9 that is \frac{1}{2\sqrt{9}}= \frac{1}{6} while [tex]\sqrt{9}= 3[/math so the tangent line at x= 9 is y= \frac{1}{6}(x- 3)+ 3. In order that that be within \pm .05 of the actual value, we must have |\sqrt{x}- \frac{1}{6}(x- 3)+ 3|\le .05 or -.05\le \sqrt{x}- \frac{1}{6}(x- 3)+ 3\le .05. Solve \sqrt{x}- \frac{1}{6}(x- 3)+ 3= -.05 and sqrt{x}- \frac{1}{6}(x- 3)+ 3= .05.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the values of a, b and c.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 16th 2011, 08:35 PM
  2. Finding the values of p and q.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: March 5th 2011, 05:15 PM
  3. Finding the values of p and q
    Posted in the Algebra Forum
    Replies: 8
    Last Post: June 1st 2010, 11:00 AM
  4. Finding Values of A and B
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 17th 2009, 08:40 PM
  5. Finding the values of k???
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 31st 2008, 06:38 AM

Search Tags


/mathhelpforum @mathhelpforum