Abstract
ABSTRACT It is found that the planar area bounded by the graphs of y = mx, y = 2mx, and y = 1/x, in the first quadrant remains invariant for all values of the parameter m > 0. This unexpected result is extended to the case y = 1/xp for the boundary curve and a function A(m,p) of two free variables is created. Geometric characteristics of the surface A(m,p) are studied to initiate an n-ologue in the calculus teaching community.
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