Cylindrical and Spherical CoordinatesRectangular,

Chapter 15, Problem 34PE

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Problem 34PE

Cylindrical and Spherical Coordinates

Rectangular, cylindrical, and spherical coordinates 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 and the coordinate planes in (a) rectangular coordinates, (b) cylindrical coordinates, and (c) spherical coordinates. Then (d) find the integral of ƒ by evaluating one of the triple integrals.

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