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The y-axis is an asymptote for the following curves:
y =- \frac{1}{x} \quad\quad y= -\frac{1}{x^2} \quad\quad y^2= \frac{1}{x^3}\quad\quad y = \ln(x)-1
Imagine rotating the x> 0, y< -1 regions of these curves about the y-axis to form a set of hollow vessels. Which vessels are of finite volume?
Numerical extension questions