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Problem (2) (4 points) The intensity of radiation of a sample containing cobalt-60 was measured at two-year intervals. The results are as follows: t(years) 0 2 Υ 4 1.0 0.77 0.59 where is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time y(t) = ae ae-bt, find the best-fit values for a and b that minimize the sum of squared errors. Then, estimate the radioactive half-life of the substance. The half-life t₁/2 is defined as the time when y(t1/2) = 0.5. expression

Problem (2) (4 points) The intensity of radiation of a sample containing cobalt-60 was measured at two-year intervals. The results are as follows: t(years) 0 2 Υ 4 1.0 0.77 0.59 where is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time y(t) = ae ae-bt, find the best-fit values for a and b that minimize the sum of squared errors. Then, estimate the radioactive half-life of the substance. The half-life t₁/2 is defined as the time when y(t1/2) = 0.5. expression

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Problem (2) (4 points) The intensity of radiation of a sample containing cobalt-60 was measured at two-year intervals. The results are as follows: t(years) 0 2 Υ 4 1.0 0.77 0.59 where is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time y(t) = ae ae-bt, find the best-fit values for a and b that minimize the sum of squared errors. Then, estimate the radioactive half-life of the substance. The half-life t₁/2 is defined as the time when y(t1/2) = 0.5. expression
Transcribed Image Text:Problem (2) (4 points) The intensity of radiation of a sample containing cobalt-60 was measured at two-year intervals. The results are as follows: t(years) 0 2 Υ 4 1.0 0.77 0.59 where is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time y(t) = ae ae-bt, find the best-fit values for a and b that minimize the sum of squared errors. Then, estimate the radioactive half-life of the substance. The half-life t₁/2 is defined as the time when y(t1/2) = 0.5. expression
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