Instruction: Write an m-le (MATLAB) for the following problem. Publish your answer(s) and/or gure(s) to PDF and submit them with your m-les.

Instruction: Write an m-file (MATLAB) for the following problem. Publish your answer(s) and/or figure(s) to PDF and submit them with your m-files. Be sure to include your name and title in both m-file and figure.

1. Plot a tangent plane and normal line to the following quadric surface at any saddle point as a point of tangency using the methods discussed in class. (a) Find a parametric equation for a hyperboloid of one sheet x^2 + y^2 −z^2 = 1 using the methods discussed in class. (b) Find a parametric equation for a tangent plane to the hyperboloid of one sheet by using tangent vectors at the given point with symbolic derivatives. (c) Find a parametric equation for normal line using the normal vector at the given point on the surface. (d) Plot tangent plane and normal line together with hyperboloid of one sheet at any saddle point on the surface as a point of tangency.