PRACTICE PROBLEMS FOR CHAPTER 10
The following parametric equations describe a cycloid.
The ``first arch'' of the cycloid is the part of the curve
described when t is between 0 and 2*Pi.
x(t) = t-sin(t)
y(t) = 1-cos(t)
- Find the area below the first arch and above
the x-axis.
- Find the length of the first arch.
- Find the volume generated by revolving the region
between the x-axis and the first arch around the x-axis.
- Find the surface area generated by revolving the first arch
around the x-axis.
Last modified on Nov 23, 1998.