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

LotusWings Group Title

24: find Point of Inflection and discuss concavity of graph of func. 40: find all relative extrema, use 2nd derivative test where applicable. 58: Water is running into the vase shown @ a constant rate. (a) graph depth of water in vase as a function of time. (b) Does the function have any Extrema? Explain. (c) Interpret the PI (Point of Inflection) of the graph of d.

  • one year ago
  • one year ago

  • This Question is Closed
  1. LotusWings Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    My work:

    • one year ago
    1 Attachment
  2. LotusWings Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @Shadowys can you help please? :O

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

    Or anyone really :P

    • one year ago
  4. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lol, um, meanwhile, can you type the original eq.?

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

    okay

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

    #24: f(x) = sinx+cosx [0, 2Pi] #40: f(x) 2sinx + cos2x [0, 2Pi] I think mostly i'm having issues with just finding the derivative of trig functions. Oh, and my friend helped me with number 58 so it's all cool.

    • one year ago
  7. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    for question 40, for the test, you let f'(x) = 0 and solve for x. then, you apply the x-values into f''(x) to test for maxima or minima

    • one year ago
  8. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    point of inflexion in 24 is found by letting f''(x)=0. also, you'll need the double angle formulas.

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

    yeah, i know how to = 0 but I don't know how to solve the trig to find the x :(

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

    |dw:1354600377935:dw|

    • one year ago
  11. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lol okay, i'll do one as an example. \(-sin x- cos x=0\) \(cos x+ sin x=0\) applying the \(Rcos(x-\alpha)\) form, where \(R=\sqrt{1+1}\), \(\alpha = tan^{-1} 1=\pi/4\) \(\sqrt2 cos (x-\pi/4)=0\) solve for x.

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

    i don't think i've ever seen the Rcos(x−α) form before. :O

    • one year ago
  13. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm, another way is letting sin x = cos(pi\2 -x) but this is much more complicated, but yes, this is the way to solve these type of eqs. for angles with the same cosine, i.e. \(\cos \theta= \cos \alpha\),\( \theta = 2n\pi \pm \alpha\)

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

    okay, thanks for your help!

    • one year ago
  15. Shadowys Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    you're welcome :)

    • one year 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.