The curve y = (x) in Figure 18, called a tractrix, has the following property: The tangent

The curve y = ƒ(x) in Figure 18, called a tractrix, has the following property: The tangent line at each point (x, y) on the curve has slope

Let R be the shaded region under the graph of y = ƒ(x) for 0 ≤ x ≤ a in Figure 18. Compute the volume V of the solid obtained by revolving R around the x-axis in terms of the constant c = ƒ(a). Use the substitution u = ƒ(x) to show that

Transcribed Image Text:

dy dx || -y √1-y²