Question 2

N(t) = (α/λ)(1 − e^{−λt}). Decay rate = λN = α(1 − e^{−λt}). Power = αE0(1 − e^{−λt}) = ms dT/dt, so dT/dt = αE0/(ms) (1 − e^{−λt}).

**Simplifying calculations** I need to solve a straightforward equation, focusing on parameters like N, alpha, and lambda at initial values. I'm thinking of formats that could work to present my results clearly, maybe to deliver in just JSON format as the user requested. That might streamline things. So, I'll summarize the derivation and keep it as concise as possible, aiming to use JSON only for clarity and directness. Let's give that a try!

No written reasoning was returned for this item.

I'm setting up the decay equation for N(t) with production rate α and decay constant λ, then deriving the decay rate and power output as functions of time, leading to the temperature rate dT/dt scaling with (1-e^{-λt}). This points toward answer A.