The differential equation for a pendulum subject to damping is given by c de + g/Lsin(0) = 0 (0) = 00; de (0) = 0 dt dt2 mL dt where 0 is the angle of the pendulum to the vertical plumb (rad), t is time(s) c is the damping factor (0.2kg – m/s), m is the mass (0.3kg), L is the length of the pendulum (Im), 0, is the initial angle from when the pendulum is released (7/6) and g is the acceleration of gravity. Determine the behavior of this pendulum until the pendulum damps consiste ntly below 0 < 1/12.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.