Given a solid bounded region by the surface z=1-y^(2) and the planes x y=1 and x y=3 in the first octant as in the figure below:
x=t
g=A
z=M
a) Draw the diagram using a mathematical application (GeoGebra, etc.) (3m)
b) Draw the projection of the diagram using a mathematical application (GeoGebra, etc.) from:
i. ,x-axis (3m)
ii. ,y-axis (3m)
iii. ,z-axis (3m)
c) Hence, find the volume of the integral from each projection.
i. ,x-axis (7m)
ii. ,y-axis (7m)
iii. ,z-axis (7m)