Section 11.9 #16

> r:=[t+t^3/6,1+t^4/12,1/4+t-1/4*cos(2*t)];

> spacecurve(r,t=0..Pi,thickness=3,axes=normal,labels=['x','y','z'],shading=zhue,orientation=[-20,70]);

It is a little difficult to visualize the 3-dimensional structure of the path from a 3-dimensional graph. Sometimes it helps to plot the path with its projection in the xy-plane. This is done below:

>

The path with its projection in the xy-plane.