Evaluate the integral to find the relationship

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Reference no: EM131798496

Radioactive decay Radioactive substances decay at a rate that is proportional to the amount present. Thus, if the amount present is x, the decay rate is

Dx/dt = kx (t in hours)

This means that the relationship between the time and the amount of substance present can be found by evaluating the integral

t= ∫(dx/kx)

(a) Evaluate the integral to find the relationship.

(b) Use properties of logarithms and exponential functions to write x as a function of t.

Reference no: EM131798496

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