Two young mathematicians witness the perils of drinking too much coffee.
- Yes Devyn?
- Do you like coffee? I like coffee! Sometimes I feel really ‘‘bad,’’ sluggish and tired. Then I drink coffee and I feel good! Sometimes I drink a lot of coffee!
- But here’s the problem, see: If I drink too much, I become over excited and can’t stop talking. I just drink coffee, then talk. Then drink more coffee. Then I start to feel sick. Ugh. I have a love-hate relationship with coffee.
- If only there were a calculus solution to this problem!
Remember, calculus is about studying functions. If we can ‘‘see’’ a function in the work above, maybe we can figure out how to solve it.