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Lynna [10]
3 years ago
10

How can elimination and substitution adapt to solve a system with nonlinear equations?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0
Even tho you did me dirty i will answer you.
You can subtract the whole number
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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.
Artyom0805 [142]
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
\frac{dT}{dt} = \alpha(T -52)

B) Find general solution by separating variables and integrating\int\frac{dT}{T-52} = \alpha \int dt   \\  ln (T-52) = \alpha t + C  \\  T = C e^{\alpha t} +52:


C) Initial condition is t=0, T = 87
87 = C +52 \\  C = 35

D) Total time elapsed is 10 minutes, new temperature is 84
84 = 35 e^{10\alpha} +52
solve for alpha
e^{10\alpha} =\frac{32}{35}  \\  \alpha = \frac{ln(32/35)}{10} \\  \alpha = -.00896

E) Temperature function is:
T = 35 e^{-.00896 t} +52
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t = \frac{ln (\frac{T-52}{35})}{-.00896}
Plug in T = 98.6
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This is approximately 32 minutes before he arrived or about 1:20 AM
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