Mathematics

Mathematics

Problem

In a sealed container the masses (in grams) of two chemicals satisfy A(t)+B(t)=50A(t)+B(t)=50 for all tt. Chemical AA decays according to dAdt=−0.05A\dfrac{dA}{dt}=-0.05A. Which differential equation gives dBdt\dfrac{dB}{dt} solely in terms of BB? a) dBdt=−0.05B\displaystyle \frac{dB}{dt}=-0.05B b) dBdt=2.5−0.05B\displaystyle \frac{dB}{dt}=2.5-0.05B c) dBdt=−2.5+0.05B\displaystyle \frac{dB}{dt}=-2.5+0.05B d) dBdt=0.05B\displaystyle \frac{dB}{dt}=0.05B

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