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The radioactive isotope radium-226 decays according to the differential equation dR dt = −4.2787 × 10−4R,...

The radioactive isotope radium-226 decays according to the differential equation dR dt = −4.2787 × 10−4R, where R is measured in milligrams (mg) and t in years.

(a) Determine the half-life λ of radium-226 .

(b) If 50 mg of radium-226 are present today, how much will remain in 100 years?

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