Results 1 to 3 of 3

Math Help - calculus (urgent)

  1. #1
    Newbie
    Joined
    Sep 2008
    Posts
    10

    Question calculus (urgent)

    8.
    ENDANGERED SPECIES An international agency studies an endangered tiger species for
    Borneo. The population of the species is modeled by
    N(t)=30+500e^(-0.3t)/1+5e^(-0.3t)


    a. At what rate is the population changing at time
    t? Will the population increase or
    decrease?
    b. When is the rate of change of the population increasing? When is it decreasing?
    Interpret your results.

    c. What happens to the population in the long run (
    t→+∞)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by cclia View Post
    8.
    ENDANGERED SPECIES An international agency studies an endangered tiger species for
    Borneo. The population of the species is modeled by
    N(t)=30+500e^(-0.3t)/1+5e^(-0.3t)


    a. At what rate is the population changing at time
    [LEFT]t[FONT=TimesNewRoman]?
    find N'(t), that's the rate
    Will the population increase or
    decrease?
    if N'(t) > 0, then it is increasing, if N'(t) < 0, then it is decreasing

    b. When is the rate of change of the population increasing? When is it decreasing?
    Interpret your results.
    again, find the intervals where the second derivative is positive or negative and state your finding accordingly. interpret your results means you describe the rate of change in words, which describes how the population is changing over certain intervals of time

    c. What happens to the population in the long run (t→+∞)?
    find \lim_{t \to \infty} N(t)
    Last edited by Jhevon; September 28th 2008 at 08:43 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by cclia View Post
    8.




    ENDANGERED SPECIES An international agency studies an endangered tiger species for

    Borneo. The population of the species is modeled by
    N(t)=30+500e^(-0.3t)/1+5e^(-0.3t)


    a. At what rate is the population changing at time
    t? Will the population increase or

    decrease?

    b. When is the rate of change of the population increasing? When is it decreasing?

    Interpret your results.





    c. What happens to the population in the long run (t→+∞)?
    a. Calculate dN/dt. Is dN/dt positive or negative for t > 0 ....?

    b. Calculate the derivative of dN/dt, that is, \frac{d^2 N}{dt^2}. For what values of t is \frac{d^2 N}{dt^2} greater than zero and less than zero ....?

    c. Consider the limit \lim_{t \rightarrow + \infty} \frac{30 + 500 e^{-0.3t}}{1 + 5 e^{-0.3t}} \, ....

    (I assume that's your expression for N - what you've posted is quite ambiguous)

    And you know e^{-0.3 t} \rightarrow 0, right .....?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Urgent - Calculus
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 5th 2008, 07:02 AM
  2. urgent hw help on calculus
    Posted in the Calculus Forum
    Replies: 8
    Last Post: November 30th 2008, 11:39 AM
  3. Urgent Calculus help needed?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 13th 2008, 01:41 AM
  4. calculus urgent help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 6th 2008, 12:20 PM
  5. [SOLVED] calculus Need urgent help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 6th 2007, 09:39 AM

Search Tags


/mathhelpforum @mathhelpforum