Hey all i have been looking at this, and im struggling to find where im going wrong, or if i even am. Here is the question, with my attempt.
Part (iii) (a) is the most difficult for me.

(ii) I got [latex] \alpha = \dfrac{1}{500} [/latex]

(a) This is the bit im most concerned about.



Am i correct or should i be writing if so why, or why not? The independance is whats confusing me.



(b) I just then sub  R(t) = e^\frac{-t}{500} , and then expand and integrate.