Assignment 1 a. Redo the Example 178 for the same data (2.803) and derive the answers (2.804)-(2.809). b. In Example 178 use the same data (2.803) except v0 and plot the outputs (2.806)-(2.809) as functions of v0. (6 graphs) c. Redo the Example 178 for the same data (2.803) but assume that there exist air as explained in Example 139, use c=1 and derive new answers for (2.804)-(2.809). d. In Example 178 use the same data (2.803) except v0 and assume that there exist air as explained in Example 139, use c=1 and plot the outputs (2.806)-(2.809) as functions of v0. (6 graphs) e. Optional: 3D plot the outputs (2.806)-(2.809) as functions of v0 and c.