Write an iterated triple integral for the integral of ƒ(x, y, z) = 6 + 4y over the region in the first octant bounded by the cone z = sqrt(x2 + y2) the cylinder x2 + y2 = 1, and the coordinate planes...


Write an iterated triple integral for the integral of ƒ(x, y, z) = 6 + 4y over the region in the first octant bounded by the cone z = sqrt(x2 + y2) the cylinder x2 + y2 = 1, and the coordinate planes in (a) rect-angular coordinates, (b) cylindrical coordinates, and (c) spherical coordinates. Then (d) find the integral of ƒ by evaluating one of the triple integrals.



Jun 05, 2022
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