That's quite a list. You've had all summer? Are there problems you have done? My choice is to make you work.
1. Find the limit as a-->0 of the y-intercept of the normal to the parabola y = x^2 at the point (a, a^2)
- Slope at x = a is?? How about 2*a?
- Slope of the Normal? b*(2*a) = -1 and solve for b.
- Equation of the Normal using Point-Slope form.
- Now what?