A structural component as part of a lifting device is 2 metres long and is subjected to downward forces resulting in a bending moment equation given by: M = -35x? + 20x +20x-1 M = value of the bending moment x = distance from L.H.S. of beam Determine a first order differential equation and use it to find the value of x for which the bending moment is a minimum. Prove this to be the minimum value using higher order derivatives. State any boundary conditions

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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.

Binomial Distribution

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.