Give an equation representing the volume of the slice you would use in a Riemann sum representing the volume of the region. Then write a definite integral representing the volume of the region and evaluate it exactly. (The region is a half-cylinder.) Ay 12 m 8 m + 12 m → Volume of slab = m' 3 Volume of region dy m3
Give an equation representing the volume of the slice you would use in a Riemann sum representing the volume of the region. Then write a definite integral representing the volume of the region and evaluate it exactly. (The region is a half-cylinder.) Ay 12 m 8 m + 12 m → Volume of slab = m' 3 Volume of region dy m3
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:Volume of region
dy m3
NOTE: Enter the exact answer or round to three decimal places.
Volume of half-cylinder :
Im³
3
Transcribed Image Text:Give an equation representing the volume of the slice you would use
in a Riemann sum representing the volume of the region. Then write
a definite integral representing the volume of the region and evaluate
it exactly. (The region is a half-cylinder.)
Ay.
12 m
8 m
+ 12 m
Volume of slab =
m3
Volume of region
dy m3
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