Polynomial Functions VB.net

This project is to write VB.net functions for four polynomial curves, On the XY plane X value of inputs is only increasing to the right, no reversals. -------------------------------------------- Polynomial Curve 1 Inputs: Start_X Start_Y Start_1st (Derivative slope) Internal_Point_1_X Internal_Point_1_Y End_X End_Y End_1st (Derivative slope) X point on Curve Return: Y point on curve ------------------------------- Polynomial Curve 2 Inputs: Start_X Start_Y Start_1st (Derivative slope) Internal_Point_1_X Internal_Point_1_Y Internal_Point_2_X Internal_Point_2_Y End_X End_Y End_1st (Derivative slope) X point on Curve Return: Y point on curve -------------------------------------------- Polynomial Curve 3 Inputs: Start_X Start_Y Start_1st (Derivative slope) Start_2nd (Derivative (curvature) Internal_Point_1_X Internal_Point_1_Y End_X End_Y End_1st (Derivative slope) End_2nd (Derivative curvature) X point on Curve Return: Y point on curve ------------------------------- Polynomial Curve 4 Inputs: Start_X Start_Y Start_1st (Derivative slope) Start_2nd (Derivative (curvature) Internal_Point_1_X Internal_Point_1_Y Internal_Point_2_X Internal_Point_2_Y End_X End_Y End_1st (Derivative slope) End_2nd (Derivative curvature) X point on Curve Return: Y point on curve