Evaluate the surface integralwhere the surface bounded by the lines y = xand the parabola y = 4x - x2.Correct answer is '10.8'. Can you explain this answer?

Question

Answer

The line and the parabola intersect at the points (0, 0) and (3, 3), and the domain of the integration being the shaded region in the figure.

Any line parallel to y-axis cuts the boundary of the region into two points, such as P,Q
Thus,

Answer

The line and the parabola intersect at the points (0, 0) and (3, 3), and the domain of the integration being the shaded region in the figure.

Any line parallel to y-axis cuts the boundary of the region into two points, such as P,Q
Thus,

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