Week 9 HomeworkENGR 112Strings and FilesProblem 2An anti-symmetric cross-ply composite laminate has two layers in which the fibers are alignedperpendicular to one another.A laminate of this type will deform into a saddle shape due toresidual thermal stresses as described by the equation? = 𝑘(?2− ?2)wherexandyare the in-plane coordinates andkis the curvature.Make a surface plotshowingthe deflection of a one-meter by one-meter square plate using -0.5 ≤ x ≤ 0.5 m and-0.5 ≤ y ≤0.5 m. Assume k=0.77. Choose a step size that captures the shape but doesn’t have too manypoints (use the same step size in x and y).a) Use theviewcommand to print four subplots as shown below, then add acolorbarto thegraph. Usehelp graph3din the command window to find some different color maps, then usecolormapto choose your favorite. Useaxis equalto show the true deformation.b) Now create a set of x and y sample points of the function using 3 sample directions in x and 4iny. Useinterp2to interpolate these sample points with the same mesh you used in part a).