I have been set a probelm to do from my High school calculus class, I have gone through it and don't think I had any major probelms but I would love if someone on this forum could go through the question, so I can get a level of my understanding. Its 1 question with 7 parts (a-f):
The concentration of alcohol in a persons bloodstreams 't' hours after the person stopped drinking is given by c(t)= 0.8t / t^2+1. when C(t) is less than or equal to 0.08
A) interpret meaning of C(1/2)
B) find experssion for C'(t), which is the rate at which the concentrations of alcohol is changing.
C) write equation for the tangent line to C(t) when t=1
D) Interpret the meaning of the equation of the tangent line found in part C
E) Find the time it will take for the concentration level to get up to and then back below the legal .08 level.
F)theoretically, is there always a trace amount of alcohol in your bloodstream after some has been consumed? use limit theory to explain your answer.
desperately looking for help from anyone, & any help is much appreiciated!