Let B be the region in the xy plane enclosed by y = 3 – x² and the x-axis. Let S be the solid shape whose base is B and whose vertical cross sections (perpendicular to the x-axis) are rectangles of height x + 1. Which integral below computes the volume of S? O s(3 – a?) – (æ + 1) dæ V3 ㅇ 1(r + 1) (3 - 22) dz o L, x(3 – a²) dx /3 Sg(a + 1)(3 – a2) dæ V3 S (x + 1)² (3 – a²) dæ -
Let B be the region in the xy plane enclosed by y = 3 – x² and the x-axis. Let S be the solid shape whose base is B and whose vertical cross sections (perpendicular to the x-axis) are rectangles of height x + 1. Which integral below computes the volume of S? O s(3 – a?) – (æ + 1) dæ V3 ㅇ 1(r + 1) (3 - 22) dz o L, x(3 – a²) dx /3 Sg(a + 1)(3 – a2) dæ V3 S (x + 1)² (3 – a²) dæ -
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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Transcribed Image Text:Let B be the region in the xy plane enclosed by y = 3 – x2 and the x-axis. Let S' be the solid shape
whose base is B and whose vertical cross sections (perpendicular to the x-axis) are rectangles of height
x + 1. Which integral below computes the volume of S?
/3
S (3 – x?) – (x + 1) dæ
-
V3
V3
S (æ + 1)(3 – a²) dæ
-
O s, æ(3 – a²) dæ
/3
SV, (2 + 1)(3 – a²) dæ
-
O S (æ + 1)° (3 – a²) dæ
-
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Given a solid S whose base B be the region in the xy plane enclosed by and the x-axis and whose vertical cross sections are the triangles of height x+1.
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