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...
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...
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...
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...
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...
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...