Recent content by magimag

  1. M

    Does This Sequence Converge to \(1-e^{-1}\)?

    Homework Statement Let a1=0, a2=1, and a(n+2)=n*a(n+1)+an/n+1 a)Calculate the value of a6 and a7 b)Prove that (an) converges. c)Show that lim an=1-e-1 when n goes to infinity.The Attempt at a Solution I got the a part and found out that a6 19/30 and a7)91/144 part b) each subsequent term...
  2. M

    Description of eigenvector corresponding to each eigenvalue.

    Ok it was a typo I had it for 3, but ok I thank I got it now then. thank you :)
  3. M

    Description of eigenvector corresponding to each eigenvalue.

    Ok I have found out that the vectors are (1,1) and (3,2) so could a description be like x=a(1,1),a≠o and x=a(3,2),a≠o ??
  4. M

    Description of eigenvector corresponding to each eigenvalue.

    I have a problem I need to solve. I can't find anything in my book that tells me how to do it. It might be worded differently in the book, but I'm not 100% sure how to solve this. Homework Statement Give a description of the eigenvectors corresponding to each eigenvalue. The Attempt at a...
  5. M

    Parametric equations for circle of curvature at given point.

    Ok I'm getting a bit confused. What if I find the normal vector and radius I should be able to find the center?
  6. M

    Parametric equations for circle of curvature at given point.

    Ok, I do not know how to prove it to you. Sorry I'm very new to proofing. Isn't the center at the origin? I'm not sure how I can draw the curve.
  7. M

    Parametric equations for circle of curvature at given point.

    I'll come back in 2 hours I have to run to practice.
  8. M

    Parametric equations for circle of curvature at given point.

    The circle that lies in the osculating plane of C at P, has the same tangent as C at P, lies on the concave side of C (toward which N points), and has radius ρ = 1/κ (the reciprocal of the curvature) is called the osculating circle (or the circle of curvature) of C at P. It is the circle that...
  9. M

    Parametric equations for circle of curvature at given point.

    I can find the unit tangent, unit normal normal and binormal vectors. I can also find the equations for the normal and osculating planes. Radius of curvature is something I have never heard about. I looked it up and found out it is one over the curvature. I will try to explain what I think the...
  10. M

    Parametric equations for circle of curvature at given point.

    Hey guys, I'm new here. I got a problem from my professor that is different from any other problems we have done. I'm stuck and need a little help.Homework Statement r(t) = <cos(t), t, 2sin(t)> Find parametric equations for the circle of curvature at (0, pi/2, 2)The Attempt at a Solution I...
  11. M

    Planning on Mechanical Engineering or Aeronautics.

    I'm planning on going to USA in school. If I take BSc in Mathematics is it possible for me to go to Aerospace engineering as major or Mechanical? I have searched many schools and some of them teach Mechanical as BSc. But if I will not get into school that teaches Mechanical engineering can I...
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