Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a shaded region are graphed. The horizontal line labeled f(x) = 16 crosses the y-axis at y = 16. The curve...

Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a shaded region are graphed. The horizontal line labeled f(x) = 16 crosses the y-axis at y = 16. The curve g(x) = 8x − x2 enters the window at the origin, goes up and right becoming less steep, changes direction at (4, 16) touching the horizontal line, goes down and right becoming more steep, and exits the window at x = 8 on the positive x-axis. The area below the horizontal line, above the curve, right of the y-axis, and left of x = 4 is shaded. (a) Form the integral that represents the area of the shaded region. 0 dx (b) Find the area of the region. (Give an exact answer. Do not round.) Need Help? Read It