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Mathematics
Mathematics
Problem
Consider the polynomial curve
y
=
x
3
−
6
x
2
+
11
x
−
6
y=x^{3}-6x^{2}+11x-6
y
=
x
3
−
6
x
2
+
11
x
−
6
on the interval
0
≤
x
≤
4
0\le x\le 4
0
≤
x
≤
4
. a. (i) Find all values of
x
x
x
in this interval where the curve intersects the x-axis. b. (ii) Hence, determine the area enclosed between the curve and the x-axis on
[
0
,
4
]
[0,4]
[
0
,
4
]
.
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