Using a triple integral (in cylindrical coordinates), determine the volume of the region below z = 6-x, above z = -√√4x²+ 4y², inside the cylinder x² + y² = 3, and x ≤ 0. A. 2√3+ (9-2√3)T B. 2√3 (9-2√3)T C. 2√3 (9+2√3) D. 2√3+(9+2√3)T

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Using a triple integral (in cylindrical coordinates), determine the volume of the region below
z = 6-x, above z -√√4x² + 4y², inside the cylinder x² + y² = 3, and x ≤ 0.
A. 2√3+ (9-2√√/3) T
B. 2√3 (9-2√√/3)*
C. 2√3 (9+2√√/3)*
D. 2√3+(9+2√√/3) T
Transcribed Image Text:Using a triple integral (in cylindrical coordinates), determine the volume of the region below z = 6-x, above z -√√4x² + 4y², inside the cylinder x² + y² = 3, and x ≤ 0. A. 2√3+ (9-2√√/3) T B. 2√3 (9-2√√/3)* C. 2√3 (9+2√√/3)* D. 2√3+(9+2√√/3) T
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