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Numerically integrate f(x) = 0.2 + 25x − 200x 2 + 675x 3 − 900x 4 + 400x 5 from a = 0 to b = 0.8 using Trapezoidal rule applying over 1, 2, 4 and 8 segments, Simpson 1/3rd rule applying over 2, 4, 6 and 8 segments and Simpson 3/8th rule applying over 3 and 6 segments. Use Romberg method to improve accuracy of the result. Determine the exact value of the integral analytically to compute true error in different methods.

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There are many ways for law enforcement to help them with decreasing the amount of crime. Face recognition has a big role in human life. Witnesses can describe a person’s face. Also, the citizenry can help by sending in photos. But an Artificial Intelligence can also do face recognition. It can search through a database full of mug shots to find a match with the face from an image or sketch. The Artificial Intelligence will take much shorter time to find a match than a group of officers or even specialists. In the following part, there will be discussed how four different approaches are all playing a role in crime prevention. i. FaceIt In the department of law enforcement, there is FaceIt, a face recognition system that can search through a whole crowd for a face and match this face with the mugshot history of this specific person. FaceIt is considered to be the most accurate facial recognition software as of today [11]. This face recognition system is mostly used by law enforcement agencies. Next to being used for law enforcement and security surveillance, which is the primary use of it, the system can also be used for computer security and eliminating fraud. Eliminating fraud is very useful in a situation as voting in a presidential election. By using this technology, voting multiple times can be evaded and people can’t get away with it anymore. People’s faces will be stored in a database and if a face appears again, then that vote won’t count [2]. ii. Matching faces from live security images The law enforcement is always on the hunt for terrorists or big criminals. Most already have good mug-shot which can help to find a face in a crowded place such as an airport [16]. And when agents are trying to hunt some criminals down, then they will probably try to flee the country. At the airport, face recognition can be of big help. The faces of these criminals are collected and stored in a database with faces of people who are not allowed to board a plane. The faces of travelers are being scanned and are being compared with the database at the security check. If the program founds a match, the guards of the airport >

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