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A person wants to purchase both parcels of land shown in the figure to the...

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Calculus

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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 L 0 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 would not exceed 2 500 square feet X 0 100 200 300 400 500 600 700 800 900 1 000 h x 0 196 244 254 304 344 413 474 274 527 550 River ft2 Parcel 1 1 000 ft The combined area of both parcels is The error bound for the estimate is ft The number of subdivisions required so that the error incurred in using L would not exceed 2 500 square feet isn Parcel 2 h x 550 ft

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