The concentration c of a radioactive material decays according to the law c(t) = be-at where t represents time in seconds, a = 0.1 sec-¹, and b is the initial concentration. a) Using the Least Squares method and the data table (Table 1) below find b. b) tį (sec) 2 3 4 Ci 0.91 0.80 0.76 0.65 Table 1: Find the error in the least squares approximation.

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math —— Numerical analysis problems

4. The concentration c of a radioactive material decays according to the law c(t) = be¯at
where t represents time in seconds, a = 0.1 sec¯¹, and b is the initial concentration.
a) Using the Least Squares method and the data table (Table 1) below find b. b)
ti (sec)
1
2
3
4
Ci
0.91
0.80
0.76
0.65
Table 1:
Find the error in the least squares approximation.
Transcribed Image Text:4. The concentration c of a radioactive material decays according to the law c(t) = be¯at where t represents time in seconds, a = 0.1 sec¯¹, and b is the initial concentration. a) Using the Least Squares method and the data table (Table 1) below find b. b) ti (sec) 1 2 3 4 Ci 0.91 0.80 0.76 0.65 Table 1: Find the error in the least squares approximation.
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