Explanation of Maths B Question

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An example of a wine glass design, using three equations, is given below. The base of the wine glass is defined by a quadratic equation, the stem by a linear equation and the body of the glass by a square root function. The difficult part of the task(outlined on the next page) is determining the correct coefficients in the equations so that the parts of the glass fit together. The equations must be accompanied by domain statements so that only the relevant section of the graph is included in the design.

Design a wine glass that uses at least 5 different equations to form the outline of the shape. At least half of your equations must be curves. It is easier if the design is done with the glass on its side, that is, with the axis of the design running along
the x-axis.
Produce an accurate graph of your design. A sketch of the final product would be
appropriate.
Submit a list of the equations you have used in the design. Include any domain restrictions.
Be sure to include all working and justification in the development of your design.