Math 2 Quiz
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MODELING & APPLICATIONS
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A materials scientist models thermal expansion using L(T)=L0(1+αT)L(T) = L_0(1 + \alpha T), where L0L_0 is the initial length, α\alpha is the expansion coefficient, and TT is temperature change. The measurements are: L0=100.0±0.1L_0 = 100.0 ± 0.1 mm, α=12.0±1.0×10−6\alpha = 12.0 ± 1.0 \times 10^{-6} K−1^{-1}, and T=500±5T = 500 ± 5 K. At this operating temperature, what limits the model's accuracy most severely?
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