Determining the time at which concentration begins to decrease

2 replies · 1K views · last reply
ttpp1124
Messages
110
Reaction score
4
Homework Statement
The question asks, "at what time.." does that mean at the fifth hour? Or after five hours and 24 minutes? I'm stuck with wording my answer
Relevant Equations
n/a
Handwritten solution to an exam question on concentration C(t) = e^(-0.06t) - e^(-0.44t): part a differentiates to find C'(t) and gives 0.13 at t = 2; part b sets C(t) = 0 and gives t = 5.24 hrs.
 
ttpp1124 said:
Homework Statement:: The question asks, "at what time.." does that mean at the fifth hour? Or after five hours and 24 minutes? I'm stuck with wording my answer
Relevant Equations:: n/a

View attachment 262780
Your approach to determining the time when the concentration begins to decrease makes no sense to me. And the time for concentration to be equal to zero is at time t = 0 only. Please describe your rationale for determining the time when the concentration begins to decrease.
 
"At what time does the concentration begins (sic) to decrease?"
A function is increasing if its derivative is positive; a function is decreasing if its derivative is negative.