Recent content by Kuno

  1. K

    How Can Integral Substitutions Simplify \(\int \frac{dx}{x^{2} e^{-2/x}}\)?

    I got it with u = -2/x, thanks. I'm not sure why I didn't do that in the first place.
  2. K

    How Can Integral Substitutions Simplify \(\int \frac{dx}{x^{2} e^{-2/x}}\)?

    Homework Statement \int \frac{dx}{x^{2} e^{\frac{-2}{x}}} The Attempt at a Solution I'm not sure where to begin.
  3. K

    Java Java Method for Checking Y or N: A Beginner's Guide

    The switch would be the best method if you were looking at a single character. I would try looping through an array testing each character.
  4. K

    How come my mobile phone recharged in 5 minutes?

    I'm sure the indicator is lying, how long have you had the phone? Lithium Ion batteries tend to go bad after a certain amount of cycles. My old phone used to be like that too after having it for a while.
  5. K

    Which brand of hard drive do you prefer?

    I have both Western Digital (100gig) and Seagate (120gig) and they've been running fine for over several years or so. However, I still suggest backing up everything.
  6. K

    Maclaurin Series: Find a_n for f(x) = 1/(1+3x)

    Okay I see it now, thanks.
  7. K

    Maclaurin Series: Find a_n for f(x) = 1/(1+3x)

    Homework Statement find a_{n} for f(x)\ =\ \frac{1}{1+3x} The Attempt at a Solution I got: f(0) = 1 f'(0) = -3 f''(0) = 9 The answer I ended up with was: a_{n} \ = \ {(-1)}^n\frac{3^n}{n!} However, the answer in the back of my book has the same answer except it's not divided by n!.
  8. K

    Using geometeric series to get different shapes

    You could do the anti-snowflake. http://math.rice.edu/~lanius/frac/anti.html
  9. K

    Does 0^0 equal 1, or is it undefined?

    It does not exist because the values oscillate between 1 and -1.
  10. K

    Any 3D graph plotting tools for Mac?

    /Applications/Utitilities/Grapher.app Not sure if that's exactly what you're looking for. But it allows you enter equations and nice way. For example, if you type (5x^2)/2 it will format it for you.
  11. K

    Self-Study Calculus Course Outline to Pacing and Topics

    Although I used a different book, that looks like exactly the same order my first year calculus course went. I would suggest trying to understand the concepts rather than just spitting out problems.
  12. K

    Calculating Car Speed: Melbourne to Moe

    Do they give you how long it took or the distance at all? I'm thinking it may be possible to use the mean value theorem. But then you would need a position function and the time it took to get there.
  13. K

    Simple trig identification equation question which i can not answer

    I'm not sure if you mean 2 times sin x squared or 2 times sin 2x? But it if is former, then... 2(sin x)^2 - cos x - 1 = 0 2(1 - [cos x]^2) - cos x - 1 = 0 2 - 2[cos x]^2 - cos x - 1 = 0 -2[cos x]^2 - cos x + 1 = 0 from here you just treat it as you would a quadratic equation.
  14. K

    Vision for Wearable Computing: Any Task, Any Environment, Anyone, All the Time

    http://www.thinkgeek.com/tshirts/generic/8a5b/" It may no be very practical, but hey, it's a start.
  15. K

    Does Adjusting the Index Affect the Convergence of an Infinite Series?

    let a_{n} = \frac{k^2 - 1}{3k^4 + 1} and b_{n} = \frac{1}{k^2} then show that a_{n} > b_{n} for every n Okay, I finally got it...
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