2. The surface area of a lake is estimated by measuring the width 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. Solve using: a) Trapezoidal rule b) Simpson 1/3 c) A combination of Simpson 3/8 (0-600) and Simpson 1/3 (600-1000) d) Romberg applied from 0 to 800 and from 800 to 1000 e) It is possible to use Gauss quadrature? Explain. Units: meter 300 380 340 230 240 320 375 345 110 X 0 200 400 600 800 1000
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Step 1: Calculate the width of each interval: The width of each interval is 100 meters. Show more…
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