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4. Let D be the region in the first octant bounded by the coordinate planes, the plane x + z = 1 and the cylinder x = 1-y². Which of the integrals below are equivalent to the integral [[[√²³ x² + y² + ²² dV ? e D 1-y² I. I ez²+²+² dz dx dy 0 II. 11. LL²+²+² dy de dz 70 pl P√z pl-z e

4. Let D be the region in the first octant bounded by the coordinate planes, the plane x + z = 1 and the cylinder x = 1-y². Which of the integrals below are equivalent to the integral [[[√²³ x² + y² + ²² dV ? e D 1-y² I. I ez²+²+² dz dx dy 0 II. 11. LL²+²+² dy de dz 70 pl P√z pl-z e

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Let D be the region in the first octant bounded by the coordinate planes, the plane x + z = 1 and the cylinder r = 1-y² . Which of the integrals below +y²+²²&V ? are equivalent to the integral I. dz dx dy 1 1-z -1-r 22+y²+z² dy dæ dz II. 1-z III. CE?+y²+z² dx dy dz + LLL"- 1-y? ez²+y²+z² dx dy dz (a) I only (b) II only (c) III only (d) I, II (e) I, III
Transcribed Image Text:4. Let D be the region in the first octant bounded by the coordinate planes, the plane x + z = 1 and the cylinder r = 1-y² . Which of the integrals below +y²+²²&V ? are equivalent to the integral I. dz dx dy 1 1-z -1-r 22+y²+z² dy dæ dz II. 1-z III. CE?+y²+z² dx dy dz + LLL"- 1-y? ez²+y²+z² dx dy dz (a) I only (b) II only (c) III only (d) I, II (e) I, III
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