Stokes' theorem tells us that if c is the boundary curve of a surface s, then f · dr c = s curl f · ds. since c is the triangle with vertices (6, 0, 0), (0, 6, 0), and (0, 0, 6), then we will take s to be the triangular region enclosed by c. the equation of the plane containing these three points is

2425

step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -