1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Temperature in oven related rate

  1. Mar 18, 2009 #1
    1. The problem statement, all variables and given/known data
    A turkey is put in an oven maintained at a constant temperature of 210[tex]^{\circ}[/tex]C. At time t=30 minutes, the turkey is 135[tex]^{\circ}[/tex]C and is increasing at a rate of 1.8[tex]^{\circ}[/tex]C/minute. The model for the turkey's temperature is

    [tex]T(t) = 210 - ae^{-bt}[/tex]

    Find the values of a and b.

    2. Relevant equations

    [tex]T(t) = 210 - ae^{-bt}[/tex]

    3. The attempt at a solution

    I'm not really sure where to begin here. I could set 135deg on the left side, let t=30, and then solve for b in terms of a. Would I then use implicit differentiation to solve for a? Aren't a and b constants? Any help is much appreciated.
    Last edited: Mar 18, 2009
  2. jcsd
  3. Mar 18, 2009 #2
    is increasing at a rate of 1.8LaTeX Code: ^{\\circ} C/minute

    so dT/dt = 1.8 C/min at t= 30 mins

    Yes, a and b are constants. There's only one input: "t".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook