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Temperature in oven related rate

  • Thread starter jorrty
  • Start date
1. Homework Statement
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. Homework 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:
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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".
 

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