Recent content by Solidmozza

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    Derivative Transformation with Law of Cosines

    Thanks a heap Voko, that did the trick! :)
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    Derivative Transformation with Law of Cosines

    Hi Voko, Thanks for the response, but I'm still a little stuck here. This is how I continued: dF = (∂F/∂c)dc + (∂F/∂b)db + (∂F/∂a)da Now (∂F/∂c)_{b,a} = (∂F/∂c) (is this not just (∂f/∂c)?) And (∂F/∂c)_{b,A} = (∂F/∂c) + (∂F/∂A)(∂A/∂c) But (∂A/∂c) = (c-bcosA)/a Hence...
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    Derivative Transformation with Law of Cosines

    Hi there, The Law of Cosines can be stated as a^2 = b^2 + c^2 - 2bccos(A) where a,b, and c are the sides of a triangle, and A is the angle opposite the side a. I have a function, f(b,c,A), with an associated set of partial derivatives (\frac{∂f}{∂c})_{b,A} etc. What I want to do is to...
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    Complex Functions of a complex variable

    My fault - I didn't make myself clear. I realize fully that you would need 4 dimensions to draw it on one graph, however what I meant was that they want us to draw two complex planes - the z plane (inputs) and a w plane (outputs). For instance, if we chose a subset A of the complex numbers such...
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    Tension on a Rope with Variable Mass Distribution

    Ah sweet! That seems so obvious now - Silly me! ~~~~~ First, we consider the point on the highest point of the rope (ie where x=0). There are only 2 forces acting here: the combined weight force of the rope and the block, and the upward force. Since the whole thing is accelerating, we use...
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    Tension on a Rope with Variable Mass Distribution

    Homework Statement A block with mass 'M' is attached to the lower end of a vertical, uniform rope with mass 'm' and length 'L'. A constant upward force 'F' is applied to the top of the rope, causing the rope and block to accelerate upward. Find the tension in the rope at a dstance 'x' from the...
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    Complex Functions of a complex variable

    Hi, Im doing a course in Differential Calculus and we are up to Euler's formula and representing complex functions of a complex variable. I'm finding it really difficult to visualise/sketch these types of functions: z|-->z^2 such that {z=x+2i}, or z|-->e^z = w such that {z=(-1+i)t | t e R...
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    Understanding Newton's Laws of Motion

    Hi, This is more of a problem with concept rather than an actual mathematical problem, so forgive me if I don't use the template provided. I'm just having an issue with Newtons laws of motion. If I were to pull a box across a floor to the right with my hand, assuming that the mass of the box...
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    Writing Symbols in Microsoft Word

    Hi, Sorry if I put this in the wrong forum. Ive just been writing up my notes and I can't seem to be able to write things like this: ^{12}_{6}C using microsoft word. If anybody could explain how I could write it in this, I'd be very appreciative. Thanks
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    Which to Choose: Discrete Maths or Statistics for Chemistry/Physics Majors?

    Hi all, I was just wondering which would be the more beneficial first year uni subject to take given that I would like to major in either chemistry or physics - Discrete Mathematics or Statistics. The Discrete maths course "focuses on the enumeration of the Catalan Numbers" and is an...
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    Determining the mass of a photon travelling at the speed of light

    I'm just wondering about this when you are making calculations of photon mass. For instance, determining the mass of a photon traveling at the speed of light and having a frequency of 100 Hz. Which equation do you use, KE = 0.5mv^2 or do you use E=mc^2 (both in conjunction with the E=hf...
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    Understanding Lenz's Law: Motors and Generators Questions

    Just bunting this up, because I really need help with this - just the answer and an explanation and I will be happily on my way... Really appreciate it!
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    Understanding Lenz's Law: Motors and Generators Questions

    :( I'm not sure what type of current the wire with the current produces in the circular loop... I need this explained, please =D. Once I understand this sort of thing I think I will be ok.. Here is my thinking - The wire with the current creates a magnetic field according to the right hand grip...
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    Understanding Lenz's Law: Motors and Generators Questions

    Daniel - I initially thought that the magnetic flux was decreasing in Q1 because the area was reducing, but I wasnt quite sure! Thus, the answer would be it flows clockwise for that one. But the 2nd one I am still a little stumped. How can you make it so that the current flows in the circle to...
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    Understanding Lenz's Law: Motors and Generators Questions

    Yep, I sure have. I must be missing something big here, and I know it. Still puzzled :(
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