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    Calculating Torsional Force - Compression Springs

    Let's say I've got a helical compression spring of a known length and strength, and I want to know how much force it would take to twist the spring around the axis of its coils, effectively making the diameter of each coil smaller, so it acts a bit like a torsion spring. I know Hooke's law is...
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    Triangles and Definite Integrals

    I'm trying to figure out how to integrate a data set, without knowing the function. While doing this, I got to thinking about this: If the definite integral of a function can be represented by the area under that function, bound by the x axis, then shouldn't: \int_{a}^{b}2x\frac{\mathrm{d}...
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    If A Kind Soul Would Be Willing - Reality Check

    Hey all, I'm working on a short hard-sci-fi story, and I'm a bit unsure of the foundational accuracy of my work. If anyone is willing, I'd appreciate some critical analysis of some of the appendices, to either make sure I'm kinda on the ball as far as accurately portraying the concepts go, or to...
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    Most Pertinent Topics; Calc 2 -> 3

    Most Pertinent Topics; Calc 2 --> 3 Heyo, Posted here a while back looking for books, as I was planning to study over spring and summer before I registered at a CC. Now it's time to pick my classes for my first semester. So, I was wondering which topics in calc II I should be reviewing...
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    Trig Problem - Way Overthinking This

    Homework Statement Homework Equations Not sure, thought of everything from finding the length of the transverse common tangent of the circles, to staring at the Inscribed Angle Theorem for a while... The Attempt at a Solution I believe I'm overthinking this problem, at first I...
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    Simplistic Surface Area Problem

    I stumbled across a problem in one of my old math books, and the answer key is either wrong, or there's something I'm missing. Homework Statement All units are in inches. Find the approx. surface area (in inches squared) of this object: A cylinder with a right circular cone on top of it...
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    Well Rounded Book List - Multiple Disciplines

    I need some decent texts on general physics, chemistry, calculus, biology, and anthropology/sociology. I'm a sophomore in high school at the moment, but I'm tired of the lack of rigor in the high school curriculum, so I transferred into a homeschool program to give me more time for the...
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