Two brothers inherit land that they want to divide equally between them.
The local land records indicate that the land is bounded roughly by the two functions:
8−6x2 and y=102x−1−8, where
y are measured in kilometers.
If they choose to put up a fence along a border running north and south, where should they put the fence?
Use Signed Area to estimate the area of the land to be
188.37 km2 (18,837 hectares),
so each brother should get approximately
Signed Area to get a visual estimation of the boundary
F3(X)as follows: F3(X)=∫−9.8XF1(T)−F2(T)δT
x≈-0.7) and then use Numeric View to zoom in on the solution:
In this example, we used the Function app to easily visualize and estimate the solution to a typical classroom problem. In our next example, we extend that power of visualization.