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Question: i solved the first part but need help with 5b...

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5. The process of radioactive decay is d positive constant (the decay constant of the radioactive material). Given that Plutonium- 244 has a half-life of 8x10 years, find its decay constant r by first solving the initial value problem: y, -ry, y(0)-yo (where yo > 0). Then use the half life (i.e., use the fact that y(Thal) o 2) to find r escribed by the equation y-ry, where r is a r b Use the general solution from the previous question and proceed similarly. (a) Given that carbon-14 has a half-life of 5730 years, find its decay constant r using the half-life. (b) Suppose the organic component of an archeological artifact retains 45% of its original carbon-14 content. Approximately how old is this artifact?

I solved the first part but need help with 5b please

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