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Use the change of variables X1 X2 X3 X4 = = G(r, 01, 02, 03): = to compute the content of the 4-ball r cos 0₁ cos 0₂ cos 03 r sin 0₁ cos 0₂ cos 03 r sin 0₂ cos 03 r sin 03 T = {(x1, x2, x3, x4) | x² + x² + x² + x² ≤a²}.

Use the change of variables X1 X2 X3 X4 = = G(r, 01, 02, 03): = to compute the content of the 4-ball r cos 0₁ cos 0₂ cos 03 r sin 0₁ cos 0₂ cos 03 r sin 0₂ cos 03 r sin 03 T = {(x1, x2, x3, x4) | x² + x² + x² + x² ≤a²}.

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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Use the change of variables X1 X2 X3 X4 = = G(r, 01, 02, 03) : = to compute the content of the 4-ball r cos 0₁ cos 0₂ cos 03 r sin 0₁ cos 0₂ cos 03 r sin 0₂ cos 03 r sin 03 T = {(x₁, x2, x3, x4) | x² + x² + x² + x² ≤a²}.
Transcribed Image Text:Use the change of variables X1 X2 X3 X4 = = G(r, 01, 02, 03) : = to compute the content of the 4-ball r cos 0₁ cos 0₂ cos 03 r sin 0₁ cos 0₂ cos 03 r sin 0₂ cos 03 r sin 03 T = {(x₁, x2, x3, x4) | x² + x² + x² + x² ≤a²}.
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