If 9 is added to twice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 5 and 12 is added to the product. what is the number?

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