Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

CalculusInt

  • 2 years ago

How would I solve this problem: (problem attached)

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

    1 Attachment
  2. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    The integral of that curve, f' over any interval will tell you the increase or decrease of f. If it's area above the axis, that's an increase of f. If it's area below the axis, that's a decrease of f. The important places to check f are the endpoints and wherever f' is 0.

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

    Also since is the graph of the derivative, look at the zeros and where this graph of the derivative changes from a + to a neg (Like Smoothmath said) Don't forget the initial value also.

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

    haha... that looks like a sample AP exam question...

  5. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yup. I'm teaching AP calc at the moment, and I just gave my students this problem as review before the AP test.

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

    the test is this Wednesday?

  7. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Haha yes.

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

    When I added the negative and positive values I came up with: 20-6+4=18, then I added the initial 2, but that gives me 20 and it says the answer is 22

  9. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    That's the integral over the WHOLE interval, which means it ends up there, at 20. Perhaps it gets further at an earlier time?

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

    that's because the question is asking what is the maximum f will get in the interval. your answer is at the end of the interval.

  11. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Look at other intervals and ask yourself where the partical is at those times.

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

    Wait is it 22 because the largest area is 20 and adding the initial 2 gives 22 as the answer?

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

    @SmoothMath @dpaInc

  14. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Oh, sorry it didn't notify me. Yeah, it's 22. You need to check at each value that the derivative is 0.

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

    So I just find the largest value where the derivative is 0 and add the initial value on, right?

  16. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1336438693557:dw|

  17. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Notice the points that I checked f at. The endpoints, and every point where f'=0.

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

    So, just 20+2?

  19. SmoothMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Right.

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

    Thank you!

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

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.