. The solid E, shown below, is the region enclosed by x + z² = 1, x = 0, y = 0, y = 2, and z = 0. Which of the following integrals correctly computes the volume of the solid E? x+z² = 1 (11) (III) 2 y -1-2² ²¹²¹² dx dy dz. 1-x ²¹** ² dydz dx. A. (II) only. B. both (II) and (III). C. (III) only. D. neither (II) nor (III).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. The solid E, shown below, is the region enclosed by x + z² = 1, x = 0, y = 0, y = 2,
0. Which of the following integrals correctly computes the volume of the
and z
solid E?
x+z² = 1
x
Z
1
(II)
(11)
(III)
2
y
1
-2
²²¹-² dx dy dz.
•1
•1-x
²¹*² dy dz dx.
A. (II) only.
B. both (II) and (III).
C. (III) only.
D. neither (II) nor (III).
Transcribed Image Text:2. The solid E, shown below, is the region enclosed by x + z² = 1, x = 0, y = 0, y = 2, 0. Which of the following integrals correctly computes the volume of the and z solid E? x+z² = 1 x Z 1 (II) (11) (III) 2 y 1 -2 ²²¹-² dx dy dz. •1 •1-x ²¹*² dy dz dx. A. (II) only. B. both (II) and (III). C. (III) only. D. neither (II) nor (III).
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