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Task 4: Triple Integral - Spherical Coordinates The region of integration G is defined by G={(x,y,z):-1=x=1,-
1-x
2
?
=y=
1-x
2
?
,0=z=
1-x
2
-y
2
?
} a) Draw the diagram using mathematical application (Maple/GeoGebra/Symbolab etc.) (3M) b) Draw the projection of diagram using mathematical application (Maple/GeoGebra/Symbolab etc.) (3M) c) Hence, evaluate ?(x
2
+y
2
+z
2
)dV using appropriate coordinate system. (9m)
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