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    Engineering Report Question

    Was there an aim, a design brief or goal you had to achieve by making the bridge? Like tension testing the bridge (seeing how much it can weigh or support before falling apart) for example. If so, try and mention that in your report.
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    math-trig question

    Only solution that fits the domain of [0, 2pi].
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    Year 11 maths textbooks

    From what I've heard Maths in Focus has questions that are way too basic and don't actually try to challenge you too much. I can't really give you a personal opinion on the MiF questions but the general consensus from people on here is to stay away from Maths in Focus. Some of the harder...
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    Permutation and combinations, confusing question

    It won't be any time soon if NESA decide take out Perms and Combs and make English an optional subject in the HSC. You gotta do what you gotta do though
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    Permutation and combinations, confusing question

    Perms and Combs are the necessary evil of the HSC Maths syllabi.. that one question from the 2020 Extension 1 HSC paper still makes me shudder at the sight of it
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    Vector Help

    The vector 5i + 0j has no vertical component. The magnitude of 5i is 5 and the direction is zero degrees from the positive x axis. Unless OP is referring to "i" in terms of complex numbers in which case yeah the direction would be 90 degrees.
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    Integration help

    Trust me, I would've if I knew how to. I'm still pretty new to this whole LaTeX business. Thanks though.
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    Integration help

    Considering no one's tried to help you since I last posted I'll attempt 2 as it helps both of us. \frac{\mathrm{d^2y} }{\mathrm{dx^2} } = 2x-4 Integrating: \frac{\mathrm{dy} }{\mathrm{dx} } = x^2-4x+C_1 We can source the value of the gradient function at x = 2 through knowing the angle of...
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    Series prerequisite for Proof by induction?

    It definitely can be a helpful prerequisite for mathematical induction but it's not completely necessary to understand series if you want to do induction. My school, for instance, covered induction first without going over series and sequences. I can do most induction problems to a decent...
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    Integration help

    4. \frac{\mathrm{d^2y} }{\mathrm{d} x^2} = 6 Integrating, we get: \frac{\mathrm{dy} }{\mathrm{d} x} = 6x + C_1 In order to find the value of this constant , we need to understand that the gradient of the tangent at (-1,3) is perpendicular to the gradient of the line 2x + 4y - 3 = 0...
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    Integration help

    1. \frac{\mathrm{d^2y} }{\mathrm{d} x^2} = 8 Integrating, we get: \frac{\mathrm{dy} }{\mathrm{d} x} = 8x + C_1 Using the information from the question, \frac{\mathrm{dy} }{\mathrm{dx} = 0 when x = 1 8(1) + C_1 = 0 C_1 = -8 \frac{\mathrm{dy} }{\mathrm{dx} = 8x - 8 Further...
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    Tricks in permutation and cominations

    Can't say I'm great at Perms and Combs, but most of what is important has been mentioned above. Some few general pointers are: Recognise whether the question is a permutation (a situation where order matters) or a combination (a situation where order does not matter). An example of a...