For questions 3-5, write a quadratic function in factored form that has the following characteristics. 3. a function with x intercepts at x=4 x=10

4. a function with x intercepts at x=-5 and x=3

5. a function with y intercept at y=8

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