Hint for problem 2

1. Pick 9 points on your curve and find their coordinates (x₁,y₁), ... , (x₉,y₉) (in the order as they are on the curve, first point is starting point, last point is end point of curve)
2. For the given data

   ti	1	2	...	8	9
   xi	x1	x2	...	x8	x9

   use the subroutines pchez and pchev to obtain at the values te_i=1.0,1.1,...,8.9,9.0 the interpolated values xe₁, ... , xe₈₁ :

   tei	1.0	1.1	...	8.9	9.0
   xei	xe1	xe2	...	xe80	xe81

3. For the given data

   ti	1	2	...	8	9
   yi	y1	y2	...	y8	y9

   use the subroutines pchez and pchev to obtain at the values te_i=1.0,1.1,...,8.9,9.0 the interpolated values ye₁, ... , ye₈₁ :

   tei	1.0	1.1	...	8.9	9.0
   yei	ye1	ye2	...	ye80	ye81

4. Write a file mydata which contains one xe_i and one xe_i value per line:
   xe₁ ye₁
   .
   .
   .
   xe₈₁ ye₈₁
5. Use the Gnuplot command
   plot "mydata" with lines
   to obtain a plot.

Tobias von Petersdorff , tvp@math.umd.edu