Find g(x), where g(x) is the translation 3 units down of f(x) = x2. Write your answer in the form a(x - h)? + k, where a, h, and k are integers.
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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