code using matlab

3. ( 30 points) Create vectors x and y from 5 to +5 with a spacing of 0.5. Use the mesh-grid function to map x and y onto two new two-dimensional matrices called X and Y. Use your new matrices to calculate matrix Z, with magnitude Z=sin(X2+Y2) a) Use the mesh ploting function to create a three-dimensional plot of Z. Compare the results you obtain with a single input (Z) with those obtained with inputs for all three dimensions (X,Y,Z). Which is more meaningful? Use the more meaningful format for the remaining plots. b) Use the surf ploting function to create a three-dimensional plot of Z. c) Modify your surface plot with interpolated shading. Try using a specific colormap of your choice. d) Generate a contour plot of Z e) Generate a combination surface and contour plot of Z. f) Combine all four plots into a single figure with fours windows using subplot. g) BONUS ( 5 points) Create the 2d matrix Z from vectors x and y without using mesh-grid