Problem 2. 2-D Curve Design. A 2-D parametric cubic spline is defined by two end points, P0(1,2) and P1(3,5), the tangent vector at P0 given by...

Problem 2. 2-D Curve Design. A 2-D parametric cubic spline is defined by two end points, P0(1,2) and P1(3,5), the tangent vector at P0 given by P0'(1,0.5), and the curvature (second derivative with respect to time) at P1 given by P1"(2.5, 3). Coordinates are given as (x,y). Showing all work and equations, derive the matrix set of equations required to solve for the equation of the parametric curve. Leave your answer in matrix form with unknowns clearly marked.