6. Evaluate − (x²+y²+z²) √x² + y²+z² where E is the region bounded between the spheres x² + y² + z² = 1 and x² + y² + z² = 3. A. π(e−¹ – e−⁹) B. −π(e−¹ – e−³) С. -2π(е-¹ – е-⁹) D. 2π(e−¹ – e−³) JIJ dV
6. Evaluate − (x²+y²+z²) √x² + y²+z² where E is the region bounded between the spheres x² + y² + z² = 1 and x² + y² + z² = 3. A. π(e−¹ – e−⁹) B. −π(e−¹ – e−³) С. -2π(е-¹ – е-⁹) D. 2π(e−¹ – e−³) JIJ dV
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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Question
Transcribed Image Text:6. Evaluate
e-(x² + y² +z²)
///₁ √x² + y² +2²
А. π(е-¹ – е-⁹)
В. -л(е-¹ - е-³)
C. -27(e-¹e-9)
D. 2π(е-¹e-³)
E. 4π(е-¹ – е-⁹)
dv
where E is the region bounded between the spheres x² + y² + z² = 1 and x² + y² +
z² = 3.
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