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  1. S

    4u Mathematics Marathon V 1.0

    1/u = x Limits become, 0 and Infinity I u^2/(u^4 + 1) du Limits( Infinity & 0) I = 1/2Arctan(u^2) * u - I 2I = Infinity I = Infinity EDIT: Are we allowed to use the hint? Partial Fractions become very difficult but eventually yield the same answer.
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    best linear approximation

    L(x) = f(a) + (x-a)f'(x) L(x) = -xSinx + aSinx + Cosa I guess you could expand sin and cos from here.
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    Athlon 64 FX 60

    NewEgg would get it first I would have thought, I am just curious about the price.
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    i play CS alot, suck alot, how do I get better?

    Quit while your ahead, CS is a waste of time.
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    Athlon 64 FX 60

    Any idea when it'll be available on NewEgg?
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    Geforce 7900

    And all of us have FX-60s. I reckon the next series of Motherboards will have to have double socket size to account for the gigantic fans.
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    questions for the smart ppl (mainly complex nos some graphs and conics)

    Ok, For the first question. E: x^2/16 + y^2/9 = 1 Tangents are drawn from P(3, 4) If you substitute x=3, you will get two answers. Same for y, Find the gradient and then the first questions done. (Two points is probably the only way) Didn't come out either. The second, Didn't come out...
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    questions for the smart ppl (mainly complex nos some graphs and conics)

    The conics question is simple, just sub in either the X or Y value and solve the Quadratic. The differentiation, Do you know implicit differentiation? The graphs, that just means that the graph is half as wide as before.
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    string theory?

    There is no way that you can 'understand' string theory without knowing the maths behind it. There is a pretty general description on Wikipedia, however if you are really interested buy a intro to String Theory book from Amazon.
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    Quad SLI?

    Well they do have 1KW Power supplies...
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    Quad SLI?

    http://www.pcper.com/article.php?aid=195 NVidia and Dell unveil a new project at the Consumer Electronics Show.
  12. S

    Polynomials From Fitzpatrick

    Q3 Just sub in ki for z. To get K= 1. Then just factorise(Over C) to get the roots.
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    What is your main reason for doing maths Ext 2?

    I like Maths, I like thinking, thus I chose to do Extension 2 Mathematics.
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    A...Question :P

    Interesting, is it worth considering limits?
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    4u Mathematics Marathon V 1.0

    Arctan (sinx) + C
  16. S

    4u Mathematics Marathon V 1.0

    1/2 ∫ sin 2x^1/2 dx u = 2x^1/2 -1/2 ∫u sinu du -1/2 {u * -cosu - ∫-cosu du} ucosu/2 - 1/2 sinu + C x^1/2 cos 2x^1/2 - 1/2 sin 2x^1/2 + C I made an error somewhere in there, too late to go through my working though.
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    space and time a fabric?

    From what I can gather you are probably talking about the models of rubber sheets with large masses that distort the plane. This is a effect of reletivity, the 'fabric' type of effect talks about linear space time as a linear surface that can be distorted by supermassive objects such as large...
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    Did some teachers ruin the subject your intersted.

    Physics, Big Time. The Syllabus is BS, the Teacher which I have dosen't answer questions with logically consistant answers. That lead me to find my own, enter exams and I'd fail misrably. So yeah, I was very interested in physics but I ruined it for myself. I don't blame the teacher whatsoever...
  19. S

    what the definition of momentum

    The conservation of momenta comes from 'm' being constant in a closed system. If you want a definition of the term, maybe you should use a dictionary.
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    ...Gravitational Potential Energy...

    I always thought it was due to the conservation of energy, that when the object moves futher away from the large object it has to do work against gravity. That it's energy has to decrease as it's approaching infinity rather than increase, that would violate the conservation of energy. Thus, E_g...
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