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Engineers have proposed a single-span suspension bridge across 8-km wide strait. The plan includes suspension towers 370 meters high at each end.Use the Trapezoidal approximation (n=4) to estimate the total length of the cable (in meters).
That is given by
L = s0∫s√((1+4H2/s4).x2dx)
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This file is about finding the length of cable by trapezoidal method. trapezoidal method is one of the numerical methods of calculation without using calculus.Most of the complex functions can be integrated by using numerical methods to high level of acuracy. For that we should know the initial conditions. We divide the whole area in to small trapeziums. then we calculate area of each trapezium.The smaller the width of each trapezium, the greater the accuracy. Then we add areas of all trapezium to get the required area. This method works for any type of functions.
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