Recent content by magimag
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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...- magimag
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- Analysis Limit Real analysis
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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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 :)- magimag
- Post #5
- Forum: Calculus and Beyond Homework Help
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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 ??- magimag
- Post #3
- Forum: Calculus and Beyond Homework Help
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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...- magimag
- Thread
- Eigenvalue Eigenvector
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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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?- magimag
- Post #11
- Forum: Calculus and Beyond Homework Help
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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.- magimag
- Post #9
- Forum: Calculus and Beyond Homework Help
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Parametric equations for circle of curvature at given point.
I'll come back in 2 hours I have to run to practice.- magimag
- Post #8
- Forum: Calculus and Beyond Homework Help
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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...- magimag
- Post #6
- Forum: Calculus and Beyond Homework Help
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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...- magimag
- Post #4
- Forum: Calculus and Beyond Homework Help
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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...- magimag
- Thread
- Circle Curvature Parametric Parametric equations Point
- Replies: 11
- Forum: Calculus and Beyond Homework Help
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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...- magimag
- Thread
- Aeronautics Engineering Mechanical Mechanical engineering
- Replies: 1
- Forum: Mechanical Engineering