A community theater uses the function p(d) = -4d^2 + 400d - 100 a. At what price would theater make the maximum profit.

b. What is that maximum profit.​

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