The following function describes the temperature distribution on a rectangular plate for the range −2 ≤ x ≤ 0 and 0 ≤ y ≤ 3

T = 2 + x − y + 2x² + 2xy + y²

Develop a script to: 

(a) Generate a meshplot of this function  using the MATLAB function surfc. Employ the linspace  function with default spacing (i.e., 100 interior points) to  generate the x and y values. 

(b) Use the MATLAB function  interp2 with the default interpolation option ('linear')  to compute the temperature at x = –1.63 and y = 1.627. Determine the percent relative error of your result. 

(c) Repeat  (b), but with 'spline'.