1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculus 2 Based Homework

  1. May 16, 2012 #1
    1)
    1.
    y=x, y=sinx, x=-∏/4, x=∏/2 find the area between these limited curves.

    2.
    ∫(upper function-(lower function)

    3.
    ∫x-sinxdx(between x=-∏/4, x=0) + ∫sinx-xdx(between x=0,x=∏/2). Am I right? If it's okay,I don't have a problem in this integral.

    2)
    1.
    ∫sin(2x)/sin^2x(^=power)dx

    2.
    I'm not sure that this formula is for this equation.I just tried for solution.
    sin^2x= 1/2(1-cos(2x))

    3.∫sin(2x)/1/2(1-cos(2x))dx=2∫sin(2x)dx/(1-cos(2x)dx=2∫du/2/(1-cos(2x)=
    =∫du/(1-cos(2x))

    3)
    1.
    r(t)=t i + t^2/2 j + t^3/3 k, 0≤t≤6 find T,N,B for this function.

    2.T(t) = r'(t)/|r'(t)| N(t) = T'(t)/|T'(t)| B=TXN

    3.T(t) = i+2tj+t^2k/ I don't calculate this yet.I want to know what it is for ? Where we are use this vectors etc.In short,can somebody show it to me graphically?

    4)
    1.
    Ʃ(it's starting from 0.And going to infinity.) n!(2x+3)^n
    another information : it's a power series. What is a radial convergence R and interval convergence ?

    2.lim n→∞ {an+1/an} {absolut value}

    3.I have calculated this.And I found R=0, a=-3/2. It's just a point.
     
  2. jcsd
  3. May 16, 2012 #2
    1: I think you have upper and lower function mixed up
    2: The function looks a bit like you might want to massage it to a form ∫f'(x)/f(x) dx. Perhaps try using trigonometry to the term upstairs.
    3: It's a parametric curve in 3 dimensions. It's not very easy to graph, but if you write r=xi+yj+zk, then using the parametrization you are given, you can find what are y(x) and z(x), which you can use to find the shape of the curve.
     
  4. May 17, 2012 #3
    Thanks for reply.I'm waiting for more replies.Is there anybody who can help me?
     
  5. May 21, 2012 #4
    1) I can't calculate it yet.
    2)Yes you're right.So I found it. ln(sin^2x)+c
    3)I don't try it yet.
    4)I calculated it.

    My homework is for tomorrow.Is there anybody,who can help me for area and vector question.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Calculus 2 Based Homework
  1. Homework help calculus (Replies: 7)

  2. 2^x to Log base 2 (Replies: 1)

  3. Calculus Homework Help (Replies: 10)

Loading...