Rewrite 6x6x6 using an exponent

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Is the point (0, 8) on the x-axis or y-axis? how do you know?

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