Results 1 to 3 of 3

Math Help - Solve a problem using derivatives.

  1. #1
    Junior Member
    Joined
    Dec 2010
    Posts
    26

    Post Solve a problem using derivatives.

    A person is in a small boat in the point A on one side of a lake parallel shores. He will move from A to point B on the lake's other side as shown. The total time for transfer is assumed to be y s. He paddles 3 m/s and run 5 m/s.
    a) express y as a function of x (see figure).
    b) examine graphically whether he can cope with the movement in 2 min.
    c) determination by differentiation the shortest time to transfer.

    Solve a problem using derivatives.-dsc-00001.jpg
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor alexmahone's Avatar
    Joined
    Oct 2008
    Posts
    1,074
    Thanks
    7
    -deleted-
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor alexmahone's Avatar
    Joined
    Oct 2008
    Posts
    1,074
    Thanks
    7
    Quote Originally Posted by hejmh View Post
    A person is in a small boat in the point A on one side of a lake parallel shores. He will move from A to point B on the lake's other side as shown. The total time for transfer is assumed to be y s. He paddles 3 m/s and run 5 m/s.
    a) express y as a function of x (see figure).
    b) examine graphically whether he can cope with the movement in 2 min.
    c) determination by differentiation the shortest time to transfer.

    Click image for larger version. 

Name:	DSC-00001.jpg 
Views:	19 
Size:	18.2 KB 
ID:	20369
    a) y=\frac{270-x}{5}+\frac{\sqrt{x^2+300^2}}{3}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: September 21st 2010, 02:23 PM
  2. using derivatives to solve word problms
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 27th 2009, 05:58 PM
  3. How to solve these derivatives problems?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 20th 2009, 05:05 PM
  4. Replies: 5
    Last Post: October 8th 2009, 04:35 AM
  5. Help me solve some derivatives
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 12th 2008, 06:06 PM

Search Tags


/mathhelpforum @mathhelpforum