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the line integral    (1,2,3) (2,0,0) (xdx ydy zdz) is independent of path or not.

the line integral    (1,2,3) (2,0,0) (xdx ydy zdz) is independent of path or not.

Grade:12th pass

3 Answers

Arun
25763 Points
one year ago
Dear student
 
Question is not complete. Please check and repost the proper and complete question. You can also attach an image.
avinash kumar
14 Points
one year ago
1.
  1. Describe the Taylor’s theorem for functions of two variables Jacobeans.

  2. Evaluate ]dxdy )x y(dzdx )y z(dydz )x z([ S ∫∫ + + + + + where S: x2 +y2 +z2 = 1

  3. Find volume of the region bounded by the first octant section cut from the region inside the cylinder x2 +y2 =1 and by the planes y=0, z=0, x=y.

  4. In usual notations prove that, = ∫∫∫ R f dv 2 ∫∫ S dA.

  5. In usual notations prove that, = ∫∫∫ R f dv 2 ∫∫ S dA

  6. Evaluate 1 0 2 2 2 0 x y dxdy π .

  7.  

  8. Check whether the line integral + + (1,2,3) (2,0,0) (xdx ydy zdz) is independent of path or not. 

  9. Verify Stoke's theorem for v y i x j 3 3  and surface S: the circular disk = x 2 +y2 1, z=0.

Vikas TU
14149 Points
one year ago
Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers

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