Change the Cartesian integral to an equivalent polar integral, and then evaluate: sketch the region first so you know the limits of integration ∫∫(x^2 + y^2) dxdy ∫∫(r^2) r dr dθ Solve the problem: Write the iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane 3x + 9y/4 + 3z = 9. ∫∫∫(1 - x/9 - y/4) dz dy dx
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