Not sure what to do with this problem.

A

Artemis01

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A radioactive substance decay at a rate of dR/dt = -kR, where t is time and k is a constant.

a) Show that R satisfies the equation R(t) = e^(-kt + c)

b) If at time t= 0 the substance has an original mass of 500mg , show that R(t)=500e^(-kt)
 
They are claiming that R(t) = e^(-kt + c).
Just compute R'(t) (same as dR/dt) for this function and see if you get -kR.
 
Artemis01 said:
A radioactive substance decay at a rate of dR/dt = -kR, where t is time and k is a constant.

a) Show that R satisfies the equation R(t) = e^(-kt + c)

b) If at time t= 0 the substance has an original mass of 500mg , show that R(t)=500e^(-kt)
Click to expand...
Can you integrate:

\(\displaystyle \int \frac{dx}{x}\)
 
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