Question: Topic: Stoke's Theorem 6. Use Stokes' theorem to evaluate F.dr for the vector field F(x, y,z) = -3y'i + 4zj + 6xk; where C is

Topic: Stoke's Theorem

6. Use Stokes' theorem to evaluate F.dr for the vector field F(x, y,z) = -3y'i + 4zj + 6xk; where C is the triangle in the plane z = x/2 with vertices (2,0,0), (0,-2,1) and (0,0,0) with anti-clockwise orientation looking down the positive z- axis

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!

10. Use Stokes' Theorem to evaluate curl(F)ds, for the vector field = (z, x, y) and the surface S, where S is the portion of the paraboloid z = 9-x - y that is above the plane z = 6-2x. Assume a...

5. Find the flux through S. a. Let E = be electro static field. Use the Gauss' Law (JS, E . N dS ) to find the total charge enclosed by the closed surface consisting of the hemisphere z = v1 -x2 - y2...

5. Find the flux through S. a. Let E = be electro static field. Use the Gauss' Law (JS, E . N dS ) to find the total charge enclosed by the closed surface consisting of the hemisphere z = 1 - x2 - y2...

galindez (cmg3849) - Homework 13 (7.5,7.6,8.1,8.2) - tegtmeyer - (54045) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page - find all choices...

give me just answers of these questions. VA Topic 9 - HW 3: (Surface Integrals X VA Topic 9 - HW 4: (Stokes' Theorem X + X webassign.net/web/Student/Assignment-Responses/last?dep=24613344 . .. 3....

Let C2 be the oriented curve parametriza r(t)= cost V2 ,sint, - cost V2 ), Osts2 n. Let F( x, y, z) = , and let I2=_ F-dr. [Suggestion: Use Stokes' Theorem and the fact that C 2 is the circle in the...

JfT ry dA, where D is the diamond-shaped domain (i) Use a change of variables to evaluate D bounded by y = 2+1, y=1-r, y=r-1 and y=-1 r. 6. Vector Calculus (a) Evaluate I = (r+2y+32) ds, where C =...

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...

1. Let Fyi-xj and C be the boundary of S, the part of the surface z = 4-2-y above the ry-plane, oriented upward. Calculate the circulation F.dr in two ways, directly and using Stokes' Theorem. 2. Use...

What is the annual carrying cost if the fixed cost per order is $2,000, the carrying cost per unit is $20 per year, the monthly units needed are 3,000, and the company orders 12 times per year?

The following transactions are to be entered up in the ledger for June. Balance off all accounts and extract a trial balance as at 30 June 2008. 2008 June 1 Started business with $6,000 in the bank...

There are 279 girls in a group of 450 children. What percentage of the group are a girls b boys?

Required information [The following information applies to the questions displayed below] Forten Company's current year income statement, comparative balance sheets, and additional information...