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(a) Let div F = x² + y² +2²+1. Calculate fs, F. dà where S₁ is the sphere of radius 1 centered at the origin. Js, F.dà = π (b) Let S₂ be the sphere of radius 4 centered at the origin; let S3 be the sphere of radius 7 centered at the origin; let S4 be the box of side 8 centered at the origin with edges parallel to the axes. Without calculating them, arrange the following integrals in increasing order: F.dA. PHỮA, BỊ F. JS₂ A = A C = B v

(a) Let div F = x² + y² +2²+1. Calculate fs, F. dà where S₁ is the sphere of radius 1 centered at the origin. Js, F.dà = π (b) Let S₂ be the sphere of radius 4 centered at the origin; let S3 be the sphere of radius 7 centered at the origin; let S4 be the box of side 8 centered at the origin with edges parallel to the axes. Without calculating them, arrange the following integrals in increasing order: F.dA. PHỮA, BỊ F. JS₂ A = A C = B v

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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(a) Let div F = x² + y² +2²+1. Calculate fs, F.· dà where S₁ is the sphere of radius 1 centered at the origin. Js, F.dà = π (b) Let S₂ be the sphere of radius 4 centered at the origin; let S3 be the sphere of radius 7 centered at the origin; let S4 be the box of side 8 centered at the origin with edges parallel to the axes. Without calculating them, arrange the following integrals in increasing order: F.dÃ. PHỮA, BỊ A = A F. JS₂ C = B v
Transcribed Image Text:(a) Let div F = x² + y² +2²+1. Calculate fs, F.· dà where S₁ is the sphere of radius 1 centered at the origin. Js, F.dà = π (b) Let S₂ be the sphere of radius 4 centered at the origin; let S3 be the sphere of radius 7 centered at the origin; let S4 be the box of side 8 centered at the origin with edges parallel to the axes. Without calculating them, arrange the following integrals in increasing order: F.dÃ. PHỮA, BỊ A = A F. JS₂ C = B v
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