Given a B-spline curve p(t) = sigma^n_i = 1 v_i B_i, k (t) defined by the following set of knots {-0.3, -0.2, -0.1, 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2} with k = 4 and a set of n = 12 control points v_i element R^3 for i = 1, 2, ..., n. Split the entire curve into two new B-spline curves at parameter t = 0.4 and provide full details for each of the new B-spline curves, including the definition, the order the number of control points, the set of knots, the set of control points, and parameter range. Provide reasons that lead to your conclusions. Given a B-spline curve p(t) = sigma^n_i = 1 v_i B_i, k (t) defined by the following set of knots {-0.3, -0.2, -0.1, 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2} with k = 4 and a set of n = 12 control points v_i element R^3 for i = 1, 2, ..., n. Split the entire curve into two new B-spline curves at parameter t = 0.4 and provide full details for each of the new B-spline curves, including the definition, the order the number of control points, the set of knots, the set of control points, and parameter range. Provide reasons that lead to your conclusions