The area of the region that lies to the right of the y-axis and to the left of the parabola $x=6 y-y^{2}$ (the shaded region in the figure) is given by the integral $\int_{0}^{5}\left(6 y-y^{2}\right) d y$ . Find the area..
A) $17.5$
B) $12.5$
C) $10.25$
D) $\frac{275}{6}$
E) $\frac{25}{6}$

Question

The area of the region that lies to the right of the y-axis and to the left of the parabola $x=6 y-y^{2}$ (the shaded region in the figure) is given by the integral $\int_{0}^{5}\left(6 y-y^{2}\right) d y$ . Find the area.. 
A) $17.5$ 
B) $12.5$ 
C) $10.25$ 
D) $\frac{275}{6}$ 
E) $\frac{25}{6}$

Quizplus · Accepted Answer

The Answer of The area of the region that lies to the right of the y-axis and to the left of the parabola $x=6 y-y^{2}$ (the shaded region in the figure) is given by the integral $\int_{0}^{5}\left(6 y-y^{2}\right) d y$ . Find the area.. 
A) $17.5$ 
B) $12.5$ 
C) $10.25$ 
D) $\frac{275}{6}$ 
E) $\frac{25}{6}$

The Area of the Region That Lies to the Right x=6y−y2x=6 y-y^{2}x=6y−y2

The Area of the Region That Lies to the Right $x=6 y-y^{2}$