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Ellipse area and slopes of functions

1) find the area of the enclosed region between the curve and the coordinate axes

x^2/8 + y^2/6 =9

the graph is just the coordinate system with an ellipse draw over it, no numbers or letter are present

2) if f(x) =x^2 (x>=0) and f(inverse) = x^1/2, show that the slopes of the graphs of f(x) and f(inverse) are reciprocals at (2,4) and (4,2).

Solution Summary

This provides an example of finding area of an ellipse and working with slopes of a function and its inverse.