On a map, 0.5 inches represents 30 miles. If it is 2.5 inches from point A to point B on the map, what is the actual distance in miles?

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