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Dec 02, 2015 · This calculator builds a parametric sinusoid in the range from 0 to Why parametric? Because the graph is represented by the following formula, and the coefficients k and a can be set by the user. Some words about the form in which the user can set the coefficients – there are three possible forms: Radian

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Harmonic Mean Calculator Harmonic mean, another measure of central tendency, is one of the three Pythagorean means (the other two being arithmetic mean and geometric mean). This type of average is frequently used in situations where one is trying to calculate the average of rates.

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Its frequency is three times the frequency of the first harmonic (ratio 3:1). Remember, the frequency of the second harmonic is two times that of the first harmonic (ratio 2:1). In other words, there are two waves of the higher C for every one wave of the lower C, and three waves of the third-harmonic G for every one wave of the fundamental.

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As we saw, the unforced damped harmonic oscillator has equation .. . mx + bx + kx = 0, (1) with m > 0, b ≥ 0 and k > 0. It has characteristic equation ms2 + bs + k = 0 with characteristic roots −b ± √ b2 − 4mk (2) 2m There are three cases depending on the sign of the expression under the square root:

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Most graphing calculators have built-in menus for graphing sequences of numbers. The technique described here may also be used. It makes use of the properties of sequences to produce the graph. A sequence is a function whose domain is the set of positive integers. On any calculator, graph in parametric form and dot mode (so the points will not be

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of f(x). We see that the form Rcos(x − α) is a very powerful form for us to know how to use and for us to be able to formulate from expressions such as 4cosx +3sinx. Exercises3 For each of the following functions determine the maximum value and the smallest positive angle (in radians, to three decimal places) at which the maximum value occurs.