Problem

1. Derive expressions calculating the forward differences for any specified cubic curve.

2. Set up procedures generating the description of a three-dimensional object from input parameters that define the object in terms of a translational sweep.

3. Develop procedures for generating the description of I three-dimensional object using input paramekrs that define the object in terms of a rotational sweep.

4. Devise an algorithm for generating solid objects as combinations of three-dimen-sional primitive shapes. each defined as a set of surfaces, using constructive solid-geomety methods.