Recent content by cybercrypt13

  1. C

    R3 Tangent Line at a Point (1,1,1) for x=t^4, y=t^4, z=t^3

    Homework Statement Find parametric equations for the tangent line to the curve x= t^4, y= t^4, z=t^3 at the point (1,1,1) Homework Equations The Attempt at a Solution I understand everything about solving this problem with the exception of how to find what t =? to plug in. ie...
  2. C

    Convergence of Sin(x) Series: Understanding the Pattern and Proving Convergence

    Homework Statement Why does sin(x) - 1/2sin^2(x) + 1/4sin^3(x) - 1/8 sin^4(x) + ... = 2sin(x)/2+sin(x) How do you know for certain the series converges for all real values of x? Homework Equations The Attempt at a Solution Have no clue where to even start... Thanks for any...
  3. C

    What is the pattern in the sequence of a1, a2, and a3 homework statements?

    Nevermind, I understand now. Thanks for the help...
  4. C

    What is the pattern in the sequence of a1, a2, and a3 homework statements?

    Thanks but I'm more confused now that I thought I was before. Where did your sqrt(13) come from? thanks, glenn
  5. C

    What is the pattern in the sequence of a1, a2, and a3 homework statements?

    sorry, it says find a recursive formula for a n+1 in terms of an. and find its limit
  6. C

    What is the pattern in the sequence of a1, a2, and a3 homework statements?

    Homework Statement a1 = sqrt(3), a2 = sqrt( 3 + sqrt( 3) ), a3 = sqrt( 3 + sqrt( 3 + sqrt( 3) ) ) Homework Equations Notice that each term is inside the sqrt of the previous term. I have no idea how to lay something like this out. Any help would be greatly appreciated. The...
  7. C

    Find the Nth Term: Expression for a Sequence of Fractions

    And honestly, I don't know that I'd have even figured out the nth term as fast as you did if at all... We've worked a total of 2 problems using this stuff before we moved on to other stuff. You obviously have this subject mastered... :-)
  8. C

    Find the Nth Term: Expression for a Sequence of Fractions

    Yes, my professor is making me want to quit... Instead of testing us on the stuff he's teaching he gives us problems we've never seen before and grades us on it. All problems in the book are all left in their expanded form so you can try to look for a pattern. This guy gives us problems that...
  9. C

    Find the Nth Term: Expression for a Sequence of Fractions

    Homework Statement Find an expression for the nth Term: { 1/3, 1, 7/5, 5/3, 13/7 } Homework Equations The Attempt at a Solution The problem has obviously had its fractions reduced on almost every case if not every case. I've been working on this problem for at least 4...
  10. C

    Calculating Work Required to Pump Water from a Hemi-spherical Tank

    well, its full of water so I'm assuming the flat part is at the top otherwise it would have said it had a hole in it. I gave you the entire problem exactly as I have it in my original post. I have nothing else... So first I'd flip your image over as yours makes no sense to me unless we're...
  11. C

    Calculating Work Required to Pump Water from a Hemi-spherical Tank

    I'm sorry, but that just doesn't make sense to me. You are describing coming down the Y axis (center) and across horizontal (which would be the radius). You say the piece joining the two lines would be the hyp and it would be the radius but that isn't the case. So obviously I'm not picturing...
  12. C

    Calculating Work Required to Pump Water from a Hemi-spherical Tank

    Well, I'm sort of stuck at the moment because I've never had a question like this in our exercises and can't find any references on the internet. I think I'm wrong in the integration part because you can't integrate the entire circular region so I guess i have to break things up to only working...
  13. C

    Calculating Work Required to Pump Water from a Hemi-spherical Tank

    Well, I think we are going to take the weight of 62.5 * (25pi) * delta x. This gives me the area of a circular region, its thickness multiplied by the thickness of a region, between 0 and 5. So my integral would be from 0 to 5 for int( 62.5*25pi*x, dx) Does this sound right? Thanks, cybercrypt
  14. C

    Calculating Work Required to Pump Water from a Hemi-spherical Tank

    Homework Statement A hemi-spherical tank with a 5 foot radius is full of water. Given than water weighs 62.5 pounds per cubic foot, find the work required to pump the water out of the tank Homework Equations Radius = 5 so range will be 0 to 5. Formula should be pi * r^2 for each...
  15. C

    Graduate Question on Experiments with Entangled Particles and Quantum Mechanics

    Just a few comments as I have to run to school. First, my comment about angle was related to spin, not direction of particles. Secondly, I don't think you are quite following me either. My point is that if you assume that when you entangle the two particles that they start to spin in...