Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = −4x. The east edge cannot intersect with the west edge. On which line could the east edge be located? y − 4x = −200 −4x − y = −50 4x − y = −200

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe