1. Use Maple to find the general solution to r +3(y + 2) = dr sin(x)...

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1. Use Maple to find the general solution to r +3(y + 2) = dr sin(x) F Careful with parentheses here! [2 points] 2. Radioactive Decay: A rock contains two radioactive isotopes, RA, and RA₂, that belong to the same radioactive series; that is, RA, decays into RA2, which then decays into stable atoms. Assume that the rate at which RA decays into RA₂ is 50e-10 kg/sec. Because the rate of decay of RA₂ is proportional to the mass y(t) of RA₂ present, dy the rate of change in RA₂ is =rate of creation rate of decay. (a) Set up a differential equation for this scenario. [2 points] (b) If the constant of proportionality is k = 2/sec and initially y(0) = 40 kg, Use Maple to find the mass y(t) of RA₂ for t≥0. [2 points] 1. Use Maple to find the general solution to r +3(y + 2) = dr sin(x) F Careful with parentheses here! [2 points] 2. Radioactive Decay: A rock contains two radioactive isotopes, RA, and RA₂, that belong to the same radioactive series; that is, RA, decays into RA2, which then decays into stable atoms. Assume that the rate at which RA decays into RA₂ is 50e-10 kg/sec. Because the rate of decay of RA₂ is proportional to the mass y(t) of RA₂ present, dy the rate of change in RA₂ is =rate of creation rate of decay. (a) Set up a differential equation for this scenario. [2 points] (b) If the constant of proportionality is k = 2/sec and initially y(0) = 40 kg, Use Maple to find the mass y(t) of RA₂ for t≥0. [2 points]

Answer rating: 100% (QA)

Answer a dy 20y 5010 Pt20 SPf dt 120dt 20t Therefore the integration facton felt Now epot b ... View the full answer