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The surface area of a lake is estimated by measuring the width in meters of the lake at intervals of 100 m. The measurements

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The surface area of a lake is estimated by measuring the width in meters of the lake at intervals of 100 m. The measurements are shown in the figure. Use numerical integration to estimate the area of the lake in m. 168 323 331 339 200 347 Solve using: a) Trapezoidal rule b) Simpson 1/3 c) A combination of Simpson 1/3 (0-400) and Simpson 3/8 (400-1000) d) Romberg applied from 0 to 800 and from 800 to 1000 e) It is possible to use Gauss quadrature? Explain 400 380 341 600 800 1000

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