Results 1 to 2 of 2

Math Help - Differentation (Business Calculus)

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    76

    Differentation (Business Calculus)

    I can't really figure out what I need to plug in. Here is the problem ...

    At 0 degrees Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by

    H=33(10*\sqrt{v}-v+10.45)

    Where v is the wind speed (in meters per second)

    a.) Find \frac{dH}{dv}and interpret it's meaning in this situation

    b.) Find the rates of change of H when v=2 and v=5

    Thanks in advance. Word problems tend to confuse me
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by XIII13Thirteen View Post
    I can't really figure out what I need to plug in. Here is the problem ...

    At 0 degrees Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by

    H=33(10*\sqrt{v}-v+10.45)

    Where v is the wind speed (in meters per second)

    a.) Find \frac{dH}{dv}and interpret it's meaning in this situation

    b.) Find the rates of change of H when v=2 and v=5

    Thanks in advance. Word problems tend to confuse me
    (a) Expand and re-write, noting that \sqrt{v} = v^{1/2}: \,

    H = 330 v^{1/2} - 33v + (33)(10.45)

    Now use the usual rule for differentiating:

    \frac{dH}{dv} = \frac{1}{2} \times 330 v^{-1/2} - 33 = 165 \times \frac{1}{v^{1/2}} - 33 = \frac{165}{\sqrt{v}} - 33 .

    Rate of change of H with respect to v.

    (b) Sub v = 2 and v = 5 into the rule for \frac{dH}{dv}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Business application calculus thread 1?
    Posted in the Calculus Forum
    Replies: 16
    Last Post: August 7th 2011, 08:24 AM
  2. Business Calculus Problem
    Posted in the Business Math Forum
    Replies: 2
    Last Post: December 2nd 2010, 08:07 PM
  3. Business Calculus
    Posted in the Calculus Forum
    Replies: 5
    Last Post: June 18th 2009, 04:15 AM
  4. Calculus Differentation using Trig
    Posted in the Calculus Forum
    Replies: 6
    Last Post: April 5th 2009, 10:41 PM
  5. Replies: 0
    Last Post: September 10th 2006, 06:33 PM

Search Tags


/mathhelpforum @mathhelpforum