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)

Question

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)

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