A semicircular trough has length 10 ft and ends of radius 1 ft, as depicted below. The trough is filled to the brim with pig feed; the density of the feed, h feet below the top of the trough, is 30 + 10h² lbs/ft°. Which integral below represents the weight (in Ibs) of the contents of the trough? 10 a) 1 T(30 + 10h?) dh
A semicircular trough has length 10 ft and ends of radius 1 ft, as depicted below. The trough is filled to the brim with pig feed; the density of the feed, h feet below the top of the trough, is 30 + 10h² lbs/ft°. Which integral below represents the weight (in Ibs) of the contents of the trough? 10 a) 1 T(30 + 10h?) dh
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:A semicircular trough has length 10 ft and ends of radius 1 ft, as depicted below. The
trough is filled to the brim with pig feed; the density of the feed, h feet below the
top of the trough, is 30 + 10h² lbs/ft°. Which integral below represents the weight
(in Ibs) of the contents of the trough?
a)
10
7(30 + 10h2) dh
Transcribed Image Text:O a)
10
1
7(30 + 10h?) dh
b)
| 20V1 – h2(30 + 10h?) dh
1
Ool'10/1- h?(30 + 10h²) dh
O d)
(30 + 10h?)
10
57 dh
O e)
107(1 – h²)(30 + 10h²) dh
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