Alright, this is a hypothetical problem for my math class, (but it seemed to fit here better than calculus help) and though I am allowed to site sources, I don't necessarily want the answer just given to me (I mean, I'd really like to figure it out). 1. The problem statement, all variables and given/known data Treatment lasts 15 hours. Oven starts at 300 degrees Oven ends at 100 degrees Max temperature: 500 Min temperature: 50 Temperature change cannot be more than 4 degrees C per minute over the course of 10 min It must increase gradually for the first few hours, then fluctuate rapidly as it approaches 100 degrees. 2. Relevant equations This is what I'm looking for 3. The attempt at a solution My attempts thus far consist of drawings of what the function should look like. From what I can tell, this is a cos (or sin) function that decreases in altitude as it increases in frequency (the function of a wave?) and has a slight downward slope. So, my question is, how does one "make" such a function? I am inclined to think that it must be like an "linear-exponential-sinusoidal" function, but I'm not sure how to plug it in all together.