Let E be the solid region in thefirst octantbounded by the coordinate planes, the cylinder x2+ y2 = 5y and the sphere x2 + y2 + z2 = 25. Write an iterated integral used to solve ∫∫∫E y dV using:
a. Cartesian Coordinates.
b. Cylindrical Coordinates.
c. If asked to evaluate one, which would you prefer and why?
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