(Solved): The following parametric curves were used to define the shape of a turbine blade for a new jet eng ...

The following parametric curves were used to define the shape of a turbine blade for a new jet engine. The two curves represent the bottom and top edges of the blade. P? (u) = (3u, u²+1, 1-u) P3 (u) = (4-u², 2u, 5) 0?u?1 1. Create a ruled surface in the y direction between the two curves, and show the equation describing the surface 2. Calculate the points on the surface corresponding to the following pairs of u and v: (1, 0) (0.5, 0.5) 3. The fluid mechanics department sends two more "edge" curves to represent the blade: P2 (v) = (4v², 1-v, 1+4v²) P4 (1) =(3, 2, 51²) 0?v?1 4. Create a bi-linearly blended Coons patch to represent the new surface, and show the equation describing the surface 5. Calculate the points on the new surface corresponding to the following pairs of u and v: (1, 0) (0.5, 0.5)