Task 2: Triple Integral - Cartesian Coordinates
Given a solid bounded region by the surface, z=x^(2), the planes y=0, and z=4-y.
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)