Question

yo kt 1H-1 a) To see when y -yo/2, we must solve the equation kt 一e In 2 Take In of both sides: -In2kt, from which t - In 2 b) yī = yoektí by assumption, λ =-yoek(tit-yoekt. .ekλ - In 2

------> I am reviewing calculus though MIT OCW and was working through this problem this morning. I found one of the answers given on the key extremely confusing while reviewing my work. The problem asks you to find an expression for the half life in terms of k (part a), and problem b is: "Show using your expression for λ that if at time t1 the amount is y1, then at time t1 + λ it will be y1/2, no matter what t1 is". I am struggling to understand part b. More specifically, I am strugging to understand why we are plugging in (-ln2/k), and why that expression seems to be completely ignored in the following evaluation. It could just be a piece of the puzzle is evading me, but that is why I am asking for help. Thanks in advance!

Answer 1

- kt -レtj e. Cs Scanned with CamScanner