Results 1 to 2 of 2

Math Help - Rate at which water is draining from the tank?

  1. #1
    Newbie
    Joined
    Feb 2008
    Posts
    10

    Rate at which water is draining from the tank?

    Hi all! I'm having trouble with some Calc homework, and I'm hoping you can help me. Here goes:

    V= 4600 * [1-(t/38)]^2 , 0 [< or equal to] t [< or equal to] 38


    Find the rate at which the water is draining from the tank after:

    a). 4 minutes
    b). 9 minutes
    c). 17 minutes

    I think you just take a derivative and the plug in for t, but I'm having a hard time with finding the derivative.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    Quote Originally Posted by A5HLEY View Post
    Hi all! I'm having trouble with some Calc homework, and I'm hoping you can help me. Here goes:

    V= 4600 * [1-(t/38)]^2 , 0 [< or equal to] t [< or equal to] 38


    Find the rate at which the water is draining from the tank after:

    a). 4 minutes
    b). 9 minutes
    c). 17 minutes

    I think you just take a derivative and the plug in for t, but I'm having a hard time with finding the derivative.
    V(t)=4600(1-\frac{t}{38})^2

    Taking the derivative w.r.t time

    V'(t)=9200(1-\frac{t}{38})\frac{-1}{38}

    Plug and chug.. the rate of change is negative hence the volume is decreasing
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 21st 2010, 04:32 PM
  2. Rate of Change: Depth of Water in a Tank
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 17th 2010, 03:34 PM
  3. Replies: 7
    Last Post: February 6th 2009, 02:45 PM
  4. Replies: 1
    Last Post: October 21st 2007, 09:56 PM
  5. Chk Anwser - Draining tank of water
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 28th 2006, 04:00 PM

Search Tags


/mathhelpforum @mathhelpforum