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13:07
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Wolfram Calculus & Algebra
Introduction to Mathematica: Solving Equations
This video introduces Mathematica's built-in commands for solving equations. This video lesson is taken from the video course Introduction to Mathematica for Students and Teachers on Wolfram U. See the full course here: https://www.wolfram.com/wolfram-u/introduction-to-mathematica-students-and-teachers/ #solveequations #mathematica
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x = A cos(ωt + φ)A point moving at constant angular speed ω around a circle of radius A projects a straight-line shadow that performs simple harmonic motion. The x-component of this uniform circular motion is exactly x(t) = A cos(ωt + φ).This geometric projection is the direct link between circular motion and trigonometric functions. It provides a clear visual explanation for why the solutions to the simple harmonic motion equation are sinusoidal, without needing to solve differential equations.
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