Over which interval is the graph of f(x) = -x² + 3x + 8 increasing?

Plot the points (0,6), (3,15.8), and (9.5,0) using the graphing tool, and find the function

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

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