Derive a parametric equation for a blend surface formed by four curves. These four curves are: 4 2 O -2- ON (a) Straight with end points: Go= [0,0,3], G = [3,0,1]; 3 Loft Surface 4 15 10 (b) Spline curve with three points: Po= [0,5,0], P = [1,5,3], P = [3,5,2]; (c) Bzier curve with four control points: Qo= [0,10,1], Q = [2,10,2], Q2 = [2.5,10,0.5], Q3 = [3,10,3]. (d) Straight line with end points: Ro= [0,15,3], R = [3,15,1]. Also, create a solid (or surface) feature using these four curves in Pro/ENGINEER or SolidWorks. Submit the following: (i) Screen capture of the Pro/ENGINEER or SolidWorks model and sketch view with all four sections; (ii) Detailed equations that describe the surface; (iii) Matlab script and screen capture of the surface plotted in Matlab.