Question

can you solve this vector problems?

Find the outward flux of the vector field F(x, y, z) = (xi + yj + zk)/(x 2 + y 2 + z 2 ) 3/2 across the ellipsoid 4x^2 + 9y^2 + z^2 = 1.

6. (12 pts.) Find the outward flux of the vector field F(r,y, ) (ri yj+ zk)/(x2 + y2 22)3/2 across the ellipsoid 4r2 +9y2 + z2 = 1

Answer 1

F2) R (otiven ellipsoid 4 r-t9g'+ 22리1 and 12 7 So 83 Consides 83 3) (0 83 2 궁x (302 (70) () 3 당x(301 호) (3) 3 ) 30 03 Nowr 0-0)30-0)R(0-)

and 40 ) -(2-gモ)-3(フモーズ2) 飛しgー - o2-03+0 putting Las value m getr we マ×F(ス)= よ3 3 っマ× 3 Now outward ur t tha vec tor field PCy) elipsoid given by acooss La Hax SP.d By stokas theouem Jx)Ads Sads リ- ニ 0 outword lun Hen Co is: Ams