Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

MATTW20 Group Title

draw a graph of the function and indicate the average value \[f(x)=x ^{3}-5x ^{2}+10; \left[ 0,4 \right]\]

  • 11 months ago
  • 11 months ago

  • This Question is Closed
  1. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    average value is \[\frac{f(4)-f(0)}{4-0}\]

    • 11 months ago
  2. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    don't I use the anti-derivative of the function?

    • 11 months ago
  3. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    oh i see you want \[\frac{1}{4}\int_0^4(x^3-5x+10)dx\]

    • 11 months ago
  4. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    aka "mean value" right

    • 11 months ago
  5. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes I believe that is what the question calls for

    • 11 months ago
  6. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok the "anti derivative" is not too bad because this is a polynomial it is \[\frac{x^4}{4}-\frac{5x^2}{2}+10x\]

    • 11 months ago
  7. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (5x^3)/3 right

    • 11 months ago
  8. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    plug in 4 ignore 0 because that just gives you 0 then divide by 4

    • 11 months ago
  9. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    right i did all that. i got approx. -.75. does that seem correct?

    • 11 months ago
  10. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    it is \(-5x\) or \(-5x^2\) ?

    • 11 months ago
  11. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    -5x^2

    • 11 months ago
  12. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    oooh ok

    • 11 months ago
  13. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    then no it is \(-\frac{2}{3}\)

    • 11 months ago
  14. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i get that. But how would they go on the graph. Could you give me a crude drawing?

    • 11 months ago
  15. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    here is a nice drawing http://www.wolframalpha.com/input/?i=x^3-5x^2%2B10+domain+0..4

    • 11 months ago
  16. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and the average value represented on the graph would just be a straight line at -2/3?

    • 11 months ago
  17. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    that i do not know sorry

    • 11 months ago
  18. MATTW20 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thank you

    • 11 months ago
    • Attachments:

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
  • 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.