Figure (A) Shows a Vacant Lot with a 100-Ft Frontage

question 200

Short Answer

Figure (a) shows a vacant lot with a 100-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 100], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 100]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 100] into five equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the values of f(x) at x = 10, 30, 50, 70, and 90. What is the approximate area of the lot?
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__________ square feet

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Definitions:

Measure Of Retention

An assessment or method used to determine the amount of information or skills that have been remembered or held onto over time.

Recall

The cognitive process of retrieving information from memory without the aid of cues.

Pseudoforgetting

The phenomenon where information seems to be forgotten not because it wasn't retained but because it was never effectively encoded into memory in the first place.

Decay

The process of decline or deterioration over time, often used in reference to organic matter or radioactive substances.