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equation and numerical values in easy to read fashion. Math CAD uses a unique method to manipulate formulas, numbers, test and graph. MathCAD is a unique powerful way to work with equations, number, text and graph. The version of MathCAD you use is depends on the type of computer you have and what you have available.

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equation and numerical values in easy to read fashion. Math CAD uses a unique method to manipulate formulas, numbers, test and graph. MathCAD is a unique powerful way to work with equations, number, text and graph. The version of MathCAD you use is depends on the type of computer you have and what you have available.

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The fundamental equation of the calculus of variations is the Euler-Lagrange equation d dt ∂f ∂x˙ − ∂f ∂x = 0. There are several ways to derive this result, and we will cover three of the most common approaches. Our first method I think gives the most intuitive treatment, and this will then serve as the model for the other methods ...

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The Derivative (18.5 minutes, SV3 » 62 MB, H.264 » 28 MB) Slope of the tangent line; definition of the derivative. Differentiability and nondifferentiability at a point. Calculation of Derivatives (25 minutes, SV3 » 66 MB, H.264 » 21 MB) The power, product, reciprocal, and quotient rules for calculating derivatives.

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I derive the basic building block of calculus of variations namely the Euler-Lagrange equation in the terms that Euler first derived it and leave the standard derivation to much later in the course. The course has many examples including some of the most famous but also some that you just won't see in any textbook.

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The period of an oscillating system is the time taken to complete one cycle. It's defined as the reciprocal of frequency in physics, which is the number of cycles per unit time. You can calculate the period of a wave or a simple harmonic oscillator by comparing it to orbital motion. First Equation of Motion. Graphical Derivation of First Equation. Consider an object moving with a uniform velocity u in a straight line. Let it be given a uniform acceleration a at time t = 0 when its initial velocity is u.

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