Recent content by killpoppop

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    Double Integral Substitution Techniques for Evaluating Complex Integrals

    1/12?
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    Double Integral Substitution Techniques for Evaluating Complex Integrals

    Ok cheers! Yeah couldn't be bothered to put up the outside INTEGRAL =] Need to get the first one sorted first. Back to the pen and paper.
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    Double Integral Substitution Techniques for Evaluating Complex Integrals

    Im just a little confused about what the interval would change to? Would this be right for the inner intergral? Intervals are being changed using u = t2 + s2 Where t = s and t = 0 1/2 \int_{u = s^2}^{u=2s^2} \sqrt{u} du
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    Double Integral Substitution Techniques for Evaluating Complex Integrals

    Using my first method gets very messy. And doesn't work. After the first integration your left with an integration by parts which just gets messier the more you do it. Very stuck.
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    Double Integral Substitution Techniques for Evaluating Complex Integrals

    Homework Statement Evaluate the integral. 1|0 s|0 ( t . sqrt ( t2 + s2 ) dt dsI hope the way I've written it makes some sort of sense. The Attempt at a Solution After getting my head around changing the order of integration I get hit with this question and for some reason am totally...
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    Proving Existence of a Point Using Rolle's Theorem

    Yep. So sorry your spot on =]
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    Proving Existence of a Point Using Rolle's Theorem

    No the notation i used is what is displayed in the question. I've never seen it before. Is it just the second derivative?
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    Proving Existence of a Point Using Rolle's Theorem

    Homework Statement Let f be continuous on [a,b] and differentiable on (a,b) Suppose that: f2(b) f2(a) = b2 - a2: Prove (using Rolle's theorem) that:( exists x belonging to (a, b) ) ( f'(x)f(x) = x )I just don't know where to start I've done basic proofs with the theorem but only when f(a) =...
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    Master Linear Algebra Proofs: Dimension Theorem, Rank-Nullity Theorem, and More!

    Also can anyone suggest a decent book or website where i can read up on these?
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    Master Linear Algebra Proofs: Dimension Theorem, Rank-Nullity Theorem, and More!

    Thanks for the feedback it all helps. But still doesn't clear a lot up for me. For this questions I've proved U+V is a subspace. What your saying is the next step but it doesn't make much sense to me. Can you explain further?
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    Master Linear Algebra Proofs: Dimension Theorem, Rank-Nullity Theorem, and More!

    Hey people. I find myself getting through my course but currently with not as much understanding as I would like. We've got to some proofs and i either vaguely understand them or do not know how to prove them.Homework Statement The first would be to prove the Dimension theorem that. dimU +...
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    Proof involving vector spaces and linear transformations

    Cheers! Right so when i get: 0v = T(v) + T(-v) i just move the T(v) over because 0v=0? giving -T(v) = T(-v) seems a bit too easy! I've already proved 0x=0 . Can you explain more about 'You should however explain more clearly why T(v+(-v))=0.' please =]
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    Proof involving vector spaces and linear transformations

    1. Suppose V,W are vector spaces over a field F and that T: V ---> W is a linear transformation. Show that for any v belonging to V that T(-v) = -T(v) 2. -T(v) denotes the additive inverse of T(v) 3. I think I'm really overcomplicating it =/ But i have 0v = T( v - v ) = T(v) +...