OpenStudy (anonymous):

Hi. Could someone help me with this flux integral? I have to compute the flux of vector field F= (x+z)i hat + j hat + k hat through the surface S given by y=x^2+z^2 with 0 less than or equal to y which is less than or equal to (pi/2). If someone could walk me through the process, I would be extremely grateful. Thank you in advance.

6 years ago
OpenStudy (anonymous):

If someone could walk me through the detailed process, I would be extremely grateful.

6 years ago
OpenStudy (anonymous):

see the chat box :)

6 years ago
OpenStudy (anonymous):

what does latex use mean?

6 years ago
OpenStudy (anonymous):

wen we integrate the dot product of F with the unit normal vector of the surface,over the surface , in the interval 0<y<pi/2; to find the unit normal vector, find the gradient of the given surface. imp.!: the equation y-x^2-z^2=0 or x^2+z^2-y=0 represents the same surface but gradient will giv vectors in opposite direction.

6 years ago
OpenStudy (anonymous):

now once u find n(cap) dot it with F and then integrate over ds. now for this ds we need to use the jacobian transformation vector |J|. the formula relating them is: ds=|J|dxdydz...now once this's is found , u essentiall hav to substitue the limits and integrate. for knowing wat is jacobian,search net please. i can solve it,but i don't know how to type it in here :/

6 years ago