The roof of a rectangular floor (24m x 20m) base structure can be modelled by 1 (x3 x2 10y2) + 8 z(x,y) = 800 (x, y) is the coordinate of the floor with (0,0) as the coordinate -12 to 12, y -10 to 10. of the centre of the floor, i.e. x = Use the online mathematical tools Wolfram Alpha to compute below (a), (b), (d) and (e). Use Matlab (integra12 function) to compute below (f) and (g). Show and explain the working steps, particularly on how the upper and lower limits are obtained for (d) and (e), together with the screen captures in your solutions. a) b) c) Use Wolfram Alpha to show the 3D graph of the roof above the floor region 12 < x 12 and 10 S y 10. Use Wolfram Alpha to calculate the volume of the structure by using both double integrals. Screen capture the inputs and outputs. b d z(x, y) dx dy = z(x,y) dy dx Jab ld z(x, y) dx dy z(x, y) dy dx Not using any mathematical tools, manually compute the volume of the structure by using below double integrals. b d Jab ld z(x, y) dx dy = z(x, y) dx dy