Use Divergence Theorem to find the volume of a quadric surface z² + 3y + 4x² = 3 with the solid region bounded by th xy-plane and y = -2. Let F = xzi + 3yzj + x²k. A. 21.60 cu. units B. 86.40 cu. units C. 43.20 cu. units D. 64.80 cu. units

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Divergence Theorem to find the volume of a quadric surface z? + 3y + 4x² = 3 with the solid region bounded by the
xy-plane and y = -2. Let F = xzi + 3yzj + x²k.
A. 21.60 cu. units
B. 86.40 cu. units
C. 43.20 cu. units
D. 64.80 cu. units
A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface integral on the
region of the curve bounded by the xy-plane for F = xi + yj + (x + y²)k.
A. 64/3 sq. units
B. 32/3 sq. units
upper
C. 96 sq.
units
D. 32 sq. units
Transcribed Image Text:Use Divergence Theorem to find the volume of a quadric surface z? + 3y + 4x² = 3 with the solid region bounded by the xy-plane and y = -2. Let F = xzi + 3yzj + x²k. A. 21.60 cu. units B. 86.40 cu. units C. 43.20 cu. units D. 64.80 cu. units A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface integral on the region of the curve bounded by the xy-plane for F = xi + yj + (x + y²)k. A. 64/3 sq. units B. 32/3 sq. units upper C. 96 sq. units D. 32 sq. units
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