1. For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 1/2 hour increments, as the following table shows:

	Initial sample	96	mg/dl
	After 30 min.	133	mg/dl
	After 60 min.	142	mg/dl
	After 90 min.	81	mg/dl
	After 120 min.	87	mg/dl

Graph in MATLAB sugar curves corresponding to these data:

	A.  By using piecewise linear function.
	B.  By using the Lagrange interpolating polynomial (clearing stating the degree of this polynomial).
	C.  By using any other interpolating polynomial. How would a typical polynomial of this type look?

Show procedures for obtaining such functions.

2.
	A.  Assume that the function f and its first n derivatives are continuous on the interval [-1, 1].

1]. Using integration by parts and the definition (1) prove (2).

B.  Using Formula (2), show that   (3)

C. Again using (2), compute