A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

g(t)=u(7t+sqrt3)

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have to plo\[g(t)=u(7t+\sqrt{3})\] and find at what points the function is discontinuous.

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

    Example:\[f(t)=u(3t-7)\]\[3t-7=0\]\[3t=7\]\[t=\frac{ 3 }{ 7 }\]|dw:1440369141852:dw|

  3. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1440369231308:dw|

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

    Another Example: \[h(t)=u(-3t+7)\]\[-3t+7=0\]\[-3t=-7\]\[t=7/3\]|dw:1440369295368:dw|

  5. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://prntscr.com/883u7t here is the defintion of a unit step function

  6. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is where wherever the shift is taking place is where the discontinuity is

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

    oh that makes more sense, so if I solve for 0, shouldn't I get when t=0?

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

    and from the examples I was given, it seems that at those points is where the shift happens

  9. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1440369613756:dw|

  10. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think you should really be thinking of what a function is and how transformations work

  11. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it just so happens that for this function solving for u(f(t)) where f(t)=0 is the discontinuty as u(0) is discont there

  12. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i say this because there might be some other ways to restrict this funtion that is not begin considered right now

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

    So the shift doesn't always occur when it's at 0?

  14. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know what you should really be thinking about is the bigger picture though that setting to 0 is more like a formula

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

    or only if we follow |dw:1440370174580:dw|

  16. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you understand how function transformations work right like say g(t) and f(t) = a*g(b(t-c)) + d a,b,c,d are constants

  17. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    f(t) is g(t) with vertical stretch of factor a, horizontal compression of b, shift to right of c and vertical shift of d

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

    yes I understand all that

  19. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah thats all u need to know

  20. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and the definition of u(t) which u have

  21. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1440370382170:dw|

  22. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for example they can give u something like this, they you wouldnt worry about just setting bracket =0

  23. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    there will be other places where the function is not defined like this

  24. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    or suppose they started throwing t into radicals or having abs values in there and stuff like that

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

    I don't think I'm ready for all that yet lol. I've only seen this for 1 class and I still have 1 doubt with the direction of the plot

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

    Like for the second example, what made the plot switch directions?|dw:1440370886926:dw|

  27. 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.