A building 10m x 10m in plan with vertical walls has a suspended fabric roof. The height z of the roof above the ground is defined by
z=0.01(X2y+y2+200) where -5≤x≤5 and 0≤y≤10
a) Plot a surface graph and describe the shape.
b) Determine the maximum and minimum heights of the roof.
c) Determine the volume of the building enclosed by vertical walls and the suspended roof.
d) Determine the surface area of the roof.