Question: Use the divergence theorem to evaluate S 2 F ( x , y , z ) * d S where F ( x , y

"Use the divergence theorem to evaluate
S2F(x,y,z)*dS
where
F(x,y,z)=(2x,y2,z2)
and
S2
is the unit sphere. That is,
S2={(x,y,z)inR3|x2+y2+z2=1}.
"Use the divergence theorem to evaluate S 2 F ( x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Use Stoke s theorem to evaluate Find curl F x y z 7 0 0 1 2y Answer format a b c If curl F curl F dS for the vector field F x y z yi 2 x k for the surface S generated by the intersection of y z 3 and...

Q:

Use Stoke s theorem to evaluate Find curl F x y z x y 1 Answer format a b c curt F curl d5 for the vector field F x y z yi j rk for the surface S generated by the intersection of y z 3 and the...

Q:

please help me. thanks in advance 1. Use the Divergence Theorem to evaluate the flux F . dS. F(x, y, z) = (zx, 8yx3, x2z) Let S be the surface that bounds the solid region with boundary given by y =...

Q:

Use the divergence theorem to evaluate a. (, , ) = ( 3 ) + (3 x ) + ( + ), over cube S defined by 1 1, 0 2, 0 2. b. (, , ) = (2y) + ( 2 ) + (2 3 ), where S is bounded by paraboloid = 2 + 2 and the...

Q:

23. Let # be the region in Figure 12 bounded by the cylinder " + y = 4, the plane z = X + 1, and the ryaplane. Use the Divergence Theorem to compute the flux of ' (X, y, z) = (z, x, y + z2) through...

Q:

Use Stoke s theorem to evaluate Find curl F x 3 Answer format a b c curl F 5 for the vector field 7 x y z yi zj x k for the surface S generated by the intersection of y z 3 and the cylinder 7 1

Q:

1. [-/0.5 Points] DETAILS LARCALC11 15.8.007. Use Stokes's Theorem to evaluate F . dr. In this case, C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + 3zj + xk C: triangle with...

Q:

Use the Divergence Theorem to evaluate 1 / F. N dS and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify...

Q:

Please answer the two questions. I don't need a lengthy explanation ? Will leave good review. 2. [-/1 Points] DETAILS LARCALCET7 15.7.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the...

Q:

23. [0/0.5 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 15.7.016. MY NOTE Use the Divergence Theorem to evaluate 15 / F . NOS and find the outward flux of F through the surface of the solid S bounded...

Q:

b) Corn Corp. and Grain Ltd. are the two main players in the plantation industry. Both of the firms are considering a financing of RM50 million respectively. As an executive at a local investment...

Q:

Use the table to find the standard score and percentile of the following data values. a. A data value 3 standard deviations below the mean. b. A data value 1.6 standard deviations below the mean. c....

Q:

How does the freemium app Candy Crush Saga generate revenue? Multiple choice question. After you have played and lost your free five lives, you wait 2 4 hours before continuing to play the game....

Q:

. Develop a flowerchart / blueprint of a full service experience for Prasarana's LRT services.