Please use Matlab or Excel. Thank you!

(60 points) This problem involves constructing an open cubic B-spline curve with six control points. (a) Derive basis functions for a cubic B-spline curve of 6 control points (n=5); (b) Derive equation for the cubic B-spline curve formed by six control points, Po, P1, P2, P3, P4, and p5; (c) Plot the curve using Excel (or other software of your choice) for Po = [0,0], P1 = (-1,1], P2 = (-1,3], P3 = [0,4], P4 = [0,6], and P5 = (3,8]; (d) Move the control point p, form (-1,1] to (-2,1] and plot the B-spline curve again. Do you see the "local control" characteristics of the B-spline curve? (please attach screen captures) (e) Show that the entire B-spline curve is C2-continuous. (60 points) This problem involves constructing an open cubic B-spline curve with six control points. (a) Derive basis functions for a cubic B-spline curve of 6 control points (n=5); (b) Derive equation for the cubic B-spline curve formed by six control points, Po, P1, P2, P3, P4, and p5; (c) Plot the curve using Excel (or other software of your choice) for Po = [0,0], P1 = (-1,1], P2 = (-1,3], P3 = [0,4], P4 = [0,6], and P5 = (3,8]; (d) Move the control point p, form (-1,1] to (-2,1] and plot the B-spline curve again. Do you see the "local control" characteristics of the B-spline curve? (please attach screen captures) (e) Show that the entire B-spline curve is C2-continuous