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Find the area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2|.
To find area enclosed by
3x2 + 5y = 32
And y = |x – 2|
Equation (i) represents a parabola with vertex (0, 32/5) and equation (ii) represents lines.
These are shown in the graph below:
Required area = Region ABECDA
= Region ABEA + Region AECDA
The area enclosed by the curves 3x2 + 5y = 32 and y = |x – 2| is