Problem
1. What is the difference between analytic and synthetic curves? Which family is better? Why?
2. If a parametric curve has u limits of umin and umax, what is the u value at its midpoint?
3. Use the tangent vector to find the curve slopes in the XY, XZ, and YZ planes.
4. Find the parametric equation of the line connecting point (2, 1, 0) to point (-2, -5, 0). Find the line midpoint and its tangent vector. Sketch the line, and show the endpoints and the parameterization direction on the sketch.