Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
soccergal12
Group Title
The effectiveness of an anesthetic t minutes after entering the blood stream is given by: e(t) = 2/25 ( 5 + 3t + 3t^2 – t^3) (a)
find the average rate of change of the drug effectiveness between t = 1 and t = 4 (b) find the instantaneous rates of change of the drug effectiveness at time = 1 and at time = 4. in one sentence, interpret the meaning of this value.
 2 years ago
 2 years ago
soccergal12 Group Title
The effectiveness of an anesthetic t minutes after entering the blood stream is given by: e(t) = 2/25 ( 5 + 3t + 3t^2 – t^3) (a) find the average rate of change of the drug effectiveness between t = 1 and t = 4 (b) find the instantaneous rates of change of the drug effectiveness at time = 1 and at time = 4. in one sentence, interpret the meaning of this value.
 2 years ago
 2 years ago

This Question is Closed

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
average rate of change between [1,4] = \[\left[ e(4)  e(1) \right] / \left[ 4  1 \right]\]
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
By using that, would i get 6/25 as my answer?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
thats correct for average rate of change. you have edited the question... now the question is talking about instantaneous rates of change, you need to use derivatives for (b)
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
yes, i used the derivatives and go the answers, on number is negative and the other is positive. it says to interpret the meaning of this value. what would i say?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
that means, between t =1 and t =4, the anesthetic is becoming 0. and the patient gets up... makes sense ?
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
yeah! that does. thanks a lot :)
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
one more question. would the answers need units?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
hey hold on. it doesnt mean that at all lol.. it means this : between t =1 and t =4, the anesthetic effect stopped INCREASING, became zero, and starts DECREASING. patient may not get up yet.. understood ? no units in the question right. so no need to bother, but if you wanto guess, the time must be in hours. as seconds are too small. and days are too long...
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
after t= 4, patient may be lying unconscious, but the anesthetic effect has started decreasing some time ago after t=1.. hope it is clear
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
haha, yes. that makes sense. thanks again.
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.