Assistance with Massive Photons Homework | 3rd & 4th Part Help

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Homework Statement


This is my problem:
2cgy9g6.jpg


(5th part is not needed)

The problem is I took a bit too complicated course for me and I don't know how to solve this. Specially I need help with 3rd and 4th parts. I will very much appreciate the help.
Thank you in advance.
 
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The two first parts I maneged to do, but don't really know how to do the 3rd and 4th. Could anybody help?
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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