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Mathematics
Problem
Let
R
R
R
be the region enclosed by the parabola
y
=
x
2
y = x^{2}
y
=
x
2
, the straight line
y
=
6
−
x
y = 6 - x
y
=
6
−
x
, and the x-axis. a. (i) Find the
x
x
x
-coordinates of the points where the parabola and the line intersect. b. (ii) Hence, determine the area of the region
R
R
R
.
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