Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement OB F-(x-y.x-x); D= Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. OA OB. SSS dx dy dz, where the integrand does not simplity to a constant 000 The integral simplifies to J + D (Type an integer or a simplified fraction.) Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, b sinu sinv, ccos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. OA The integral simplifies to JJ du dv, where the integrand does not simplify to a constant 11 00 JSO ds.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 62E
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Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement.
OB.
F(x-xx-x); D=
Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice.
OA
OB.
SSS dx dy dz, where the integrand does not simplify to a constant
000
The integral simplifies to
fff
D
(Type an integer or a simplified fraction.)
+
Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, bainu sinv, ccos u) for the surface if needed. Select the correct choice
below and fill in any answer boxes within your choice.
OA
11
JJ du dv, where the integrand does not simplify to a constant
00
The integral simplifies to
JSO
ds.
Transcribed Image Text:Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. OB. F(x-xx-x); D= Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. OA OB. SSS dx dy dz, where the integrand does not simplify to a constant 000 The integral simplifies to fff D (Type an integer or a simplified fraction.) + Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, bainu sinv, ccos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. OA 11 JJ du dv, where the integrand does not simplify to a constant 00 The integral simplifies to JSO ds.
Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice.
(Type an exact answer, using z as needed.)
OA. Both integrals evaluate to
OB. The integrals do not have the same value. The volume integral evaluates to
and the surface integral evaluates to
Transcribed Image Text:Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice. (Type an exact answer, using z as needed.) OA. Both integrals evaluate to OB. The integrals do not have the same value. The volume integral evaluates to and the surface integral evaluates to
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