The rather dangerous element Wonderium decays radioactively to the beautiful metal Galgadotium at a rate equal...

The rather dangerous element Wonderium decays radioactively to the beautiful metal Galgadotium at a rate equal to α times the amount of Wonderium present at time t, W(t). But Galgadotium decays at a rate equal to β times the amount of Galgadotium present at time t, G(t); here β is strictly larger than α. Give equations for W(t) and G(t), solve these equations, and use the solutions to compute lim_t_→∞[W(t)/G(t)] in terms of α and β ONLY, assuming that W(0)≠0. The correct answer is

β−αβ
β−αα
α−βα
αβ−α
None of the above

Expert Solution

genius_generous answered 2 years ago

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