Struggling with Jackson 3rd Ed Chapter 11 Question 12?

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Please help for jackson (3rd. edition) chapter 11 question 12.
 
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https://www.physicsforums.com/showthread.php?t=94380

Show us the work you've done so far, what is your difficulty, etc. Also, maybe you could write out the question so somebody who doesn't have the textbook but may know how to solve your problem could help you (if such a person exist).

You just won't have any valuable answer with a thread done like that.
 

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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