The given equation for \(y\) is \(y = |x - 1| + |x - 2|\). The graph of \(y\)intersects the line \(y = 3\) at certain points, forming a bounded area.
The area can be calculated by finding the points of intersection of the curves and calculating the area between them. After calculating, we find the area is 4 square units.
A force \( \vec{f} = x^2 \hat{i} + y \hat{j} + y^2 \hat{k} \) acts on a particle in a plane \( x + y = 10 \). The work done by this force during a displacement from \( (0,0) \) to \( (4m, 2m) \) is Joules (round off to the nearest integer).
Read More: Area under the curve formula