Discuss the below:
Q: For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 12hr 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 (clearly state the degree of this polynomial).
(c) By using any interpolating polynomial. How would a typical polynomial of this type look like?
Before producing any graph, show the procedures for obtaining such required functions. Be as specific as possible. Use the handout Lagrange interpolating polynomials distributed in class.