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Let D be the region in the first octant bounded by the coordinate planes, the plane r+z = 1 and the cylinder r 1-y?. Which of the integrals below are equivalent to the integral e+v²+=* dV ? D. r1-y * ++ dz dr dy 1-z I T"*+*+* dy dz dz SN ** da dy dz + dr dy dz + 1-y dr dy dz Jo (a) I only (b) II only (c) III only (а) 1, П (e) I, III

Let D be the region in the first octant bounded by the coordinate planes, the plane r+z = 1 and the cylinder r 1-y?. Which of the integrals below are equivalent to the integral e+v²+=* dV ? D. r1-y * ++ dz dr dy 1-z I T"*+*+* dy dz dz SN ** da dy dz + dr dy dz + 1-y dr dy dz Jo (a) I only (b) II only (c) III only (а) 1, П (e) I, III

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Let D be the region in the first octant bounded by the coordinate planes, the plane r +z = 1 and the cylinder r = 1-y². Which of the integrals below are equivalent to the integral *av ? D I. ++22 dz dr dy -2 dy dr dz 0, •1 V l-z II. C +y²+=² dr dy dz + Jo +u²+ dx dy dz (a) I only (b) II only (c) III only (d) I, II (e) I, III
Transcribed Image Text:Let D be the region in the first octant bounded by the coordinate planes, the plane r +z = 1 and the cylinder r = 1-y². Which of the integrals below are equivalent to the integral *av ? D I. ++22 dz dr dy -2 dy dr dz 0, •1 V l-z II. C +y²+=² dr dy dz + Jo +u²+ dx dy dz (a) I only (b) II only (c) III only (d) I, II (e) I, III
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ISBN:
9781337614085
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