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Math Help - Newton's law of Heating and Cooling

  1. #1
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    Newton's law of Heating and Cooling

    How do you solve for k when:
    Particular Solution is=>T(t) = 375-352e^(-kt)
    and T(75) = 125
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  2. #2
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    375-352e^{-75k}=125

    -352e^{-75k}=-250

    e^{-75k}=\frac{125}{176}

    -75k=ln(\frac{125}{176})

    k=\frac{ln(\frac{176}{125})}{75}\approx{0.00456227  0103}
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