Results 1 to 4 of 4

Math Help - Using Calculator for Integration

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    7

    Using Calculator for Integration

    Suppose that a company's marginal revenue from the manufacture and sales of eggbeaters is dr/dt = 2- 2/(x+1)^2 where r is measured in thousands of dollars and x in thousands of units. How much money should a company expect from a production run of 3 thousand eggbeaters?

    I tried integrating it on my calculator and got 5998.000666
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2009
    Posts
    226
    Shouldn't it be \frac{dr}{dx} = 2 - \frac{2}{(x + 1)^2}? If so, wouldn't you calculate the definite integral \int_0^3 [2 - \frac{2}{(x + 1)^2}] \, dx?

    My calculator returns \frac{9}{2} = 4.5 so if my reasoning is correct then the answer is $4,500.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2010
    Posts
    7
    Quote Originally Posted by NOX Andrew View Post
    Shouldn't it be \frac{dr}{dx} = 2 - \frac{2}{(x + 1)^2}? If so, wouldn't you calculate the definite integral \int_0^3 [2 - \frac{2}{(x + 1)^2}] \, dx?

    My calculator returns \frac{9}{2} = 4.5 so if my reasoning is correct then the answer is $4,500.
    Ok I agree with that integration. Your just saying that it should dr/dx = instead of dr/dt = ?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Dec 2009
    Posts
    226
    Yes; I believe the integral would be invalid if it were \frac{dr}{dt}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: May 6th 2012, 03:16 PM
  2. Replies: 4
    Last Post: March 2nd 2009, 10:09 AM
  3. Integration calculator error? doubt it.
    Posted in the Calculus Forum
    Replies: 6
    Last Post: January 28th 2009, 05:21 AM
  4. Replies: 1
    Last Post: August 5th 2007, 02:17 AM
  5. Without Calculator
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: January 23rd 2007, 06:50 PM

Search Tags


/mathhelpforum @mathhelpforum