Mathematics, 08.08.2019 00:10 666isabella666

The mass of a particular radioactive isotobe sample q(t) (in grams) at a future time t (in months) can be described by the following differential equation: dq/dt = -kq, where k > 0 is a constant. (a) show how the general solution of this differential equation can be obtained (4 marks (b) suppose the mass of a sample of this isotobe is 15g now and after 12 months the mass will be 10g. find the mass of this isotobe sample in 18 months' time. 15 marks (c) at what time will the mass of the sample in part (b) fall to lg ? [3 marks (d) what is the half-life of this radioactive isotobe? (4 marks]

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The mass of a particular radioactive isotobe sample q(t) (in grams) at a future time t (in months) c...