Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

soccergal12

  • 3 years ago

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.

  • This Question is Closed
  1. ganeshie8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    average rate of change between [1,4] = \[\left[ e(4) - e(1) \right] / \left[ 4 - 1 \right]\]

  2. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    By using that, would i get -6/25 as my answer?

  3. ganeshie8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 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)

  4. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 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?

  5. ganeshie8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that means, between t =1 and t =4, the anesthetic is becoming 0. and the patient gets up... makes sense ?

  6. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah! that does. thanks a lot :)

  7. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    one more question. would the answers need units?

  8. ganeshie8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 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...

  9. ganeshie8
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 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

  10. soccergal12
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    haha, yes. that makes sense. thanks again.

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.