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Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F = (z-y,x,-x); D = {(x,y,z2); A. y² z² OB. -{-1} + 8 + 9 27 set up the surface integral for the Divergence meorem, using a parametrization with the form r= (a sin u cos v, b sin u sin v, c cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. 2x T JSO du dv, where the integrand does not simplify to a 00 constant The integral simplifies to to SS as dS. S (Type an integer or a simplified fraction.)

Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F = (z-y,x,-x); D = {(x,y,z2); A. y² z² OB. -{-1} + 8 + 9 27 set up the surface integral for the Divergence meorem, using a parametrization with the form r= (a sin u cos v, b sin u sin v, c cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. 2x T JSO du dv, where the integrand does not simplify to a 00 constant The integral simplifies to to SS as dS. S (Type an integer or a simplified fraction.)

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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Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F = (z-y,x, - x); set up the sanace negral or the Divergence meorem, using a parametrization with the form r= (a sin u cos v, b sin u sin v, c cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. A. OB. x² y² z² D={(xyz) - 2 + 1 -1} + 9 27 8 21 T JSO du dv, where the integrand does not simplify to a 00 constant SS S (Type an integer or a simplified fraction.) The integral simplifies to ds.
Transcribed Image Text:Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F = (z-y,x, - x); set up the sanace negral or the Divergence meorem, using a parametrization with the form r= (a sin u cos v, b sin u sin v, c cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. A. OB. x² y² z² D={(xyz) - 2 + 1 -1} + 9 27 8 21 T JSO du dv, where the integrand does not simplify to a 00 constant SS S (Type an integer or a simplified fraction.) The integral simplifies to ds.
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