A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

this one should be some what fun Water flows into a tank according to the rate F(t) = (6 + t)/(1 + t), and at the same time empties out at the rate E(t) = (ln(t+2))/(t+1) , with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest gallon, is in the tank at time t = 10 minutes. You must show your setup but can use your calculator for all evaluations.

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

    presumably the tank is empty to start with..

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i just evaluate both functions at t =10 and then subtract f(10) - E(10)? and Id assume the tank was empty i wasn't given anymore information

  3. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 5

    \(\frac{dV}{dt} = F(t) - E(t)\)

  4. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 5

    build and solve integral

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits \frac{ (t+6)-(\ln(t+2)) }{ (t+1) }\]?

  6. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Looks good, but that wont evaluate into elementary functions so you may simply use wolfram http://www.wolframalpha.com/input/?i=%5Cint_0%5E%2810%29+%5Cfrac%7B+%28t%2B6%29-%28%5Cln%28t%2B2%29%29+%7D%7B+%28t%2B1%29+%7D

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :( i was hoping it would be more complicated

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

    evaluating it is complicated indeed but i think you should not waste time messing with special functions at this point..

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah your probably right , anyway thanks once again

  10. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    np

  11. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    maybe just double check the problem has no typoes because usually you should expect to see easily workable integrals in these type of problems.. the focus should be on setting up the integral, not evaluating it..

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay one second,

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    all seems clear to me , do you see anything out of place ?

  14. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    integral becomes easy if E(t) is like below : \(E(t) = (\ln(t+\color{red}{1}))/(t+1)\)

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nope triple checked its t + 2

  16. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    then we're good, nearest to gallon, the water in the tank is 18 gallon at t = 10

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ganeshie8 can i ask you something?

  18. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    sure ask

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why are you so helpfull? im serious you clearly are on a higher level of math, why do you keep helping people with silly linear calculus I problems, you couldn't possibly be learning anything and i'm sure your own work keeps you busy you have infinity medals what keeps you here ?

  20. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Haha thanks for the good words! But you have no idea, I suck at math, thats the only reason I'm still here ;p

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    god , i must be truly awful then

  22. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I think you're doing great!

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

  24. 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.