Results 1 to 2 of 2

Math Help - instantaneous growth rate

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    8

    instantaneous growth rate

    A certain bacteria culture is growing so that it has a mass of 1/2t^2 + 1 grams after t hours.
    a. How much did it grow during the interval [2, 2.01]?
    b. What was its average growth rate during this interval [ 2, 2.01]?
    c. What was its instantaneous growth rate at t=2?

    What I first did is to differentiate the equation 1/2t^2 + 1, but what i got for my answer was t. From that, I subtracted 2. from 2.01 and got 0.01 for letter a, for letter b the average growth rate I did the same thing as for letter a but over its difference and got an answer of 1. Plz tell me if my procedures are correct and how to do c. I'll greatly appreciate it...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Apr 2009
    Posts
    17
    For the first 2 a and b just simply plug in t(2.01)-t(2)/0.01

    The lest 1, derivative you got correctly, its simply t. So you just plug in 2 for t= 2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. instantaneous rate of the function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 29th 2010, 12:48 PM
  2. Instantaneous rate
    Posted in the Calculus Forum
    Replies: 7
    Last Post: November 8th 2009, 04:13 PM
  3. Replies: 2
    Last Post: October 15th 2009, 06:06 AM
  4. Average rate and instantaneous rate?
    Posted in the Calculus Forum
    Replies: 10
    Last Post: August 30th 2009, 03:23 PM
  5. Instantaneous rate of change?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 3rd 2009, 09:09 AM

Search Tags


/mathhelpforum @mathhelpforum