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 01-02-2013, 10:35 AM #9181 sfaune92 Used Register   Join Date: Oct 2008 Location: UK/NO How do you rearrange: v = 1 + bx + cx² to get a straight line? __________________ ERROR 0x45: Signature not found
01-07-2013, 06:25 PM   #9182
ThrashUnleashed
stealing human bones

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When doing linear equations, how would you write the equation for a vertical line?
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01-07-2013, 07:25 PM   #9183
AeroRocker
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Quote:
 Originally Posted by ThrashUnleashed When doing linear equations, how would you write the equation for a vertical line?

x=something
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01-07-2013, 07:28 PM   #9184
keinerniemand
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Quote:
 Originally Posted by ThrashUnleashed When doing linear equations, how would you write the equation for a vertical line?

x = constant, much like y = constant is a horizontal line!
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 01-12-2013, 03:27 AM #9185 sherry07 UG's Black Queen     Join Date: Sep 2009 Location: Poking in the pile I have just started integration and I'm still a little confused... how would you integrate this? (square root of x - 1/x)^2 __________________ Signatureless. And this doesn't count. Because I said so.
 01-12-2013, 03:31 AM #9186 MakinLattes fully retractable     Join Date: Mar 2007 Location: { } Is the entire square root being squared?
01-12-2013, 06:55 AM   #9187
sherry07
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Quote:
 Originally Posted by MakinLattes Is the entire square root being squared?

Ok yeah that wasn't very clear... it's [(square root of x)-(1/x)]^2
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Last edited by sherry07 : 01-12-2013 at 06:57 AM.

 01-12-2013, 07:07 AM #9188 MakinLattes fully retractable     Join Date: Mar 2007 Location: { } So (√(x) - 1/x)^2. Foil and simplify: (√(x) - 1/x)(√(x) - 1/x) = √(x)^2 - 2(√(x)/x) + 1/x^2 = x - 2x^(-1/2) + x^-2. So for the indefinite integral we have ∫ x - x^(-1/2) + x^-2 dx = ∫x dx - ∫2x^(-1/2) dx + ∫x^-2dx = (1/2)x^2 - 4x^1/2 - x^-1 + C Last edited by MakinLattes : 01-12-2013 at 07:08 AM.
 01-13-2013, 06:37 AM #9189 sfaune92 Used Register   Join Date: Oct 2008 Location: UK/NO How do you find a dy/dx expression when: sin(xy) = y + x ? __________________ ERROR 0x45: Signature not found
01-13-2013, 06:58 AM   #9190
Neo Evil11
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Quote:
 Originally Posted by sfaune92 How do you find a dy/dx expression when: sin(xy) = y + x ?

Implicity differentiation dy/dx=-Fx/Fy, so take the sin to the right and simply partial differentiste to x and y.
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 01-13-2013, 07:31 AM #9191 sfaune92 Used Register   Join Date: Oct 2008 Location: UK/NO Thank you! The answer key just said: (to a simlar question; there's no answer key for exam sets) 1.　　sin(xy) = x 2.　　[x(dy/dx) + y] cos(xy) = 1 3.　　(dy/dx)=[(cos(xy))^-1 - y] / x Though the method you mentioned yielded the same answer on that question. I'm curious about what happens between step 1. and 2. here... __________________ ERROR 0x45: Signature not found Last edited by sfaune92 : 01-13-2013 at 07:39 AM.
01-13-2013, 08:49 PM   #9192
Ninja Vampirate
up the hoods

Join Date: Jun 2007
Location: Bangor, Norn Iron/Manchester
Quote:
 Originally Posted by sfaune92 How do you find a dy/dx expression when: sin(xy) = y + x ?

cos(xy)[xdy/dx+y]=dy/dx+1
dy/dx(xcos(xy)-1)=1-ycos(xy)
dy/dx=(1-ycos(xy))/(xcos(xy)-1)

 01-14-2013, 08:50 AM #9193 papershredder ‎° ͜ ͡°     Join Date: Sep 2008 Location: London Hey guys, doing a computing report and was wondering if there's a way to get the convergence of this series for different values of a? Is there a way to express this limit in terms of a? I'm still not great with just plucking limits out of thin air Any help is appreciated! __________________ - - - - - - - - When I think of the perpetual journey through life When it always feels like autumn The wind moves slowly to the north And the flowers die Rain falls in my dreams - - - - - - - -
 01-14-2013, 09:50 AM #9194 a_7_x x'; DROP TABLE *; --     Join Date: Sep 2006 Location: Glasgow. Sorry, this is a really stupid question but I'm having a hard time visualising this question in my head. Can anyone explain it to me a little better? A pendulum with a cord length, r=0.5m, swing on a vertical plane. When the pendulum is in the 2 horizontal positions of theta=90' and theta=270', its speed is 5.00ms^-1 __________________ "And it's the thrill of life that enables us to flow"
01-14-2013, 11:20 AM   #9195
papershredder
‎° ͜ ͡°

Join Date: Sep 2008
Location: London
Quote:
 Originally Posted by a_7_x Sorry, this is a really stupid question but I'm having a hard time visualising this question in my head. Can anyone explain it to me a little better? A pendulum with a cord length, r=0.5m, swing on a vertical plane. When the pendulum is in the 2 horizontal positions of theta=90' and theta=270', its speed is 5.00ms^-1

Imagine the pendulum upside down, completely vertical, with the weight at the top - this is with θ = 0°. Now rotate it clockwise 90°, that's the first horizontal position, and the other is, yeah, 270°. It's saying that each time θ=90°, v (instantaneous speed) is 5m/s.

...what's the actual question though? :p

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 Originally Posted by magnus_maximus Dude Dudes. I learned about Bose-Einstein Condensation today. That shit is incredible. http://en.wikipedia.org/wiki/Bose%E...tein_condensate

Dayum that looks pretty fascinating... Are you in 3rd year or something?
I've seen some stuff about this in IOP news, I never understand anything in physics news though
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Last edited by papershredder : 01-14-2013 at 11:23 AM.

 01-16-2013, 06:43 AM #9196 sfaune92 Used Register   Join Date: Oct 2008 Location: UK/NO I've got a simple stats question... So I've calculated mean, variance, standard deviation, and standard error of the mean. How do I find "the 70% confidence limit for the true value"? EDIT: Another question... How do you linearise this: t² = (d² + 4h²) / v² Given that t: dependent variable d: independent variable h: constant v: constant (Or is it possible to have v² as a function of d²?) __________________ ERROR 0x45: Signature not found Last edited by sfaune92 : 01-16-2013 at 12:36 PM.
01-16-2013, 01:15 PM   #9197
papershredder
‎° ͜ ͡°

Join Date: Sep 2008
Location: London
Quote:
 Originally Posted by sfaune92 I've got a simple stats question... So I've calculated mean, variance, standard deviation, and standard error of the mean. How do I find "the 70% confidence limit for the true value"? EDIT: Another question... How do you linearise this: t² = (d² + 4h²) / v² Given that t: dependent variable d: independent variable h: constant v: constant (Or is it possible to have v² as a function of d²?)

I was taught something about a 67% confidence level, I'm assuming this is the same thing - if you have your standard deviation s then the error on your average value (at the 67% confidence level) should be s/sqrt(N) where N is the number of values used to calculate the standard deviation.

And I'm not really sure what that second question is asking is that something to do with taking the first order of the Taylor expansion?
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Last edited by papershredder : 01-16-2013 at 01:17 PM.

 01-16-2013, 01:30 PM #9198 sfaune92 Used Register   Join Date: Oct 2008 Location: UK/NO Thank you. Also, the second part seems to be asking of t as a function of d. I don't think series has anything to do with it as it is not included in that module. I tried using logs as well, but it didn't go over to well because of that annoying plus on top of the denominator. Regarding your question on the previous page, is it based on a binomial series? __________________ ERROR 0x45: Signature not found
 01-16-2013, 11:20 PM #9199 papershredder ‎° ͜ ͡°     Join Date: Sep 2008 Location: London Well can't you just square root it? t = (d+2h)/v ? which is essentially t = (1/v)d + (2h/v) in straight line form and uh, my question was finding the limit/convergence of that series, in terms of a :/ still stuck on it lol, need to finish writing the report by sunday :'( __________________ - - - - - - - - When I think of the perpetual journey through life When it always feels like autumn The wind moves slowly to the north And the flowers die Rain falls in my dreams - - - - - - - -
 01-16-2013, 11:39 PM #9200 RealUnrealRob Lazy Physicist     Join Date: Sep 2008 Location: Tampa You can't square root it because those values are squared independently and then added. To linearize it you have to get both the dependent and independent variables to a power of 1, but I'm not actually sure how to do that for that problem (been through calc 3 and math methods, I'm ashamed of myself). What class is that question for?

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