SOLUTION FOR Q1
DERIVATIVE
V=xyz=0.5=x2y=0.5
z=0.5/x2
A=2(xy+xz+zy)
=2(x2+0.5/x+0.5/x)
=2x2+2/x
A’=4x-2x-2
x=
3
1
2
A’’=4+4x-3
x=
3
1
3
x=y=z=
A’’>0
3
1
3
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SOLUTION FOR Q2
Integration
(i)F=pgh(x)w(x)dx
5
F=4* 5− 3 1/2(1000 ∗ 9,81 ∗∗ 3 1/2)dx=113870.4
(ii)F=pgh(x)w(x)dx
7
3
F=4* 7− 3 1/2 (1078.5 ∗ 9.81 ∗ 1/2)dx=176169.7956