What was the system that French settlers used to divide up land along the St. Lawrence River? A The Long Lot System B Metes and Bounds System C Public Land Survey System D Lot and Block System
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Refer to the following figure showing two parcels ofland along a river: You want to purchase both parcels of land shown in the figure and make a quick check on their combined area. There is no equation for the river frontage, so you use the average of the left and right sums of rectangles covering the area. The 1,000 -foot baseline is divided into 10 equal parts. At the end of each subinterval, a measurement is made from the baseline to the river, and the results are tabulated. Let $x$ be the distance from the left end of the baseline and let $h(x)$ be the distance from the baseline to the river at $x$. Use $L_{10}$ to estimate the combined area of both parcels, and calculate an error bound for this estimate. How many subdivisions of the baseline would be required so that the error incurred in using $L_{n}$ would not exceed 2,500 square feet?
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The Definite Integral
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A person wants to purchase both parcels of land shown in the figure to the right and make a check on their combined area. There is no equation for the river frontage, so the person uses the average of the left sum of rectangles covering the area. The 1,000-foot baseline is divided into 10 equal parts. At the end of each subinterval, a measurement is made from the baseline to the river, and the results are tabulated. Let x be the distance from the left end of the baseline and let h(x) be the distance from the baseline to the river at x. Use L10 to estimate the combined area of both parcels, and calculate an error bound for this estimate. How many subdivisions of the baseline would be required so that the error incurred in using Ln would not exceed 5,000 square feet? | x | 0 | 100 | 200 | 300 | 400 | 500 | 600 | 700 | 800 | 900 | 1,000 | |---|---|-----|-----|-----|-----|-----|-----|-----|-----|-----|-------| | h(x) | 0 | 195 | 240 | 251 | 271 | 297 | 329 | 399 | 456 | 500 | 550 | The combined area of both parcels is
Carson M.
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