Question: ( 3 ) Use Stokes' Theorem to evaluate o C vec ( F ) * d v e c ( s ) where vec (

(3) Use Stokes' Theorem to evaluate oCvec(F)*dvec(s) where vec(F)(x,y,z)=ey+zvec(), and C is the square with vertices at (1,0,1),(1,1,1),(0,1,1), and (0,0,1) orientated with an upward pointing normal.
( 3 ) Use Stokes' Theorem to evaluate o C vec ( F

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:

3. Use Stokes' theorem to evaluate SS (V x F) - ndS where F = (x, y, xyz) and S is the outwards-oriented part of the sphere x2 + y2 + z2 - 4 which lies above the curve C : r = (cost, sint, sin? t) Ost

Q:

3. Use Stokes' theorem to evaluate Jo F.dr, where C is the boundary of the part of the paraboloid z = 1 x y in the first octant (with positive orientation), and F = (xy, yz, xz).

Q:

5. Use Stokes' Theorem to evaluate F dr where F = (y, xz, -y) and C is the x+=1 = 1 in the plane z = 1. [8 points] ellipse x+

Q:

Let F = . Use Stokes' Theorem to evaluate S c u r l F d S , where S is the hemisphere x ^2 + y^2 + z 2 = 36 , z 0 , oriented upwards.

Q:

Let F = (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute...

Q:

With steps pls 6. Use Stokes' Theorem to evaluate J J, curl F . dS, where F(x, y, z) = x2 sinzi+ y j + xyk, where S is the part of the paraboloid z = 1 - x2 - y that lies above the xy-plane, oriented...

Q:

2.) Use Stoke's Theorem to evaluate d. C F(x, y, x) = (3z sin x, x + e,y - cos z) - S: z=1x2 y2, z0 -

Q:

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 1. [-/1 Points] DETAILS SCALCET9 16.8.004. Use Stokes' theorem to evaluate...

Q:

1. [-/0.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Use Stokes' Theorem to evaluate 1/5 Curl F . as. F(x, y, z) = zeyi + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y2 + z2 = 4, y 2 0, oriented...

Q:

2. [-/1 Points] DETAILS SCALCET9 16.8.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Stokes' theorem to evaluate curl ( F ) . ds . F(x, y, z) = e *yi+ e*j + x2zk, S is the half of the ellipsoid...

Q:

Discuss the PMs responsibilities toward the project team members.

Q:

The row and column totals will be used to find the expected frequencies. Expected frequencies are calculated assuming Ho is true, that all of the population proportions are the same. The following...

Q:

Expenses are A . decreases in retained earnings resulting from operations. B . increases in liabilities resulting from purchasing assets. C . increases in assets resulting from operations. D ....

Q:

Provide a discussion about the policy and ways in which it can be effectively implemented and evaluated Providea final conclusion that summarizes your thoughts and details ideas that might enhance...