LAB ASSIGNMENT 12 (due 04/30/14) _____________________________ (15 pts.) The surface shown in surfplot12.pdf is "physically" generated in three steps: - A flat sheet is tilted above the horizontal square S = {(x,y): -1.5<=x<=1.5 , -1.5<=y<=1.5} so that its height above S varies from 1.5 (where x=-1.5) to 4.5 (where x = 1.5). There is no tilt in the y-direction. - A vertical cylinder of radius 1, whose axis coincides with the z-axis (i.e., x=0, y=0), is used to punch a hole in the sheet. The rim of the hole is shown in black. - The cone-like crater is formed by connecting the origin (x=y=z=0) with each point on the rim using a straight line. Write MATLAB commands that will generate the exact same surface plot without the rim line. Use 500 points for each of the x and y grids, along with flat shading, the jet colormap and viewing angles of -35 (azimuth) and 20 (elevation). Don't forget to properly label the axes (as shown). Also, use the AXIS TIGHT option. Tip: Using the complex number w = x+j*y may be helpful. ___________________________________________________________________________ Submit (use exact file names as shown): lastname_labhw_12.m The commands for parts i) and ii) above. It is not necessary to submit your surface plot. Useful comments should be given. and should be uploaded from the upload link on the course lab web page , or if not possible, emailed to enee222S2013@gmail.com.