Find the area of the shaded region. (Round your answer to two decimal places.)
The x-y coordinate plane is given.
There are two vertical lines and one curve, which is labeled y = 2x/(x^2 + 4), on the graph.
A vertical line crosses the x-axis at x = -2.
A vertical line crosses the x-axis at x = 2.
The curve enters the window at the point (-4, -0.4), goes down and right becoming more steep, passes through the approximate point (-3.46, -0.43) nearly horizontal, goes down and right, changes direction at the point (-2, -0.5), goes up and right becoming more steep, crosses the x-axis at the origin, goes up and right becoming less steep, changes direction at the point (2, 0.5), goes down and right becoming more steep, passes through the approximate point (3.46, 0.43) nearly horizontal, goes down and right, and exits the window at the point (4, 0.4).
The shaded region is between the two vertical lines, and between the curve and the x-axis.
__________ square units
Producers' Surplus
A supplier of portable hair dryers will make x hundred units of hair dryers available in the market when the unit price is p = (324 + 3.8x)^0.5 dollars. Determine the producers' surplus if the market price is set at $20/unit. (Round your answer to two decimal places.)
$ ___________