manually, step by step, indicating the respective variable changes. Step 5. Considering all the equations from the previous steps, set up the system corresponding and answer the following: a) Do you have a solution? b) Is the solution unique? c) Do you need to add an additional condition (for example: some relationship between the height and width for the stability of the submarine) d) Solve the system manually and step by step. Step 6. Create a multiple integral that allows you to calculate the surface area of the submarine he designed. Calculate the posed integral and only in this step is allowed to use some software to calculate said area. Step 7. Using the area calculated in the previous step, calculate the forces on the hull of your underwater water pressure at a depth of 200 meters. Step 8. Use some software that graphically describes the submarine casing on the three-dimensional space. Step 9. (Optional) Use a 3D printer to physically visualize the design of the built casing. It is important that the printed prototype must comply with the dimensions calculated by the team. Otherwise, the score will not be taken into account. additional in the qualification of the deliverable. In this step only 5 points will be considered additional ones that will be added in the qualification of the deliverable of the problem situation. \fSuggested methodology for the development of the problem situation Designing the Hull of a Submarine Questions: 1. Could you develop the design using only functions of one variable? 2. What constraints should be considered in the design? For example: does the surface can it be any type? 3. In what parts is the problem made more manageable using calculus? variables? 4. Why does the existence of the equation of the tangent plane at the points where They cut the paraboloid and the ellipsoid ensure that the surface is smooth there? 5. How to make the submarine stable once immersed in water? 6. Why is it important to calculate the hydrostatic force on the hull of the ship? submarine? Phase 1: Based on previous studies, the ideal shape of a submarine of this class consists of the union of an elliptical bow and a parabolic stern, as can be seen in figure 2. Figure 2. Scheme of the Ohio class submarine Step 1. Suppose that for a