Question

Hi
I need some help with a surface integral

Answer 1

where is the Q??

Answer 2

\[\int\limits_{S}^{}(1+z) dσ , S=\]

Answer 3

wait a second pls
I've got terrible problems with my internet connection here
Im from germany

Answer 4

don't type in equation format.. there's something weird one with the Equation inserter..

Answer 5

\[\int\limits_{S}^{}(1+z)dσ\]
S={(x,y,z) element of R³ | x+y+2z=2 , x,y,z>=0}

Answer 6

honestly, I have no idea how to paramterize the plan
Usually we had questions where we could use spherical coordinates or similiar
but I dont know what to use here :/

Answer 7

here the co-ordinates are (x,y,z) whcih are cartesian co-ordinates.. if u can convert it to radial form then i think u'll get the answer..

Answer 8

mhm i just can't get it into another form
can anyone help me out?

Answer 9

if (Theta) be the angle between the vector OX and the X axis,
if (Alpha) be the angle between the vector OY and the Y axis,
if (Phi) be the angle between the vector OZ and the Z axis,
x = R.cos(theta)
y = R.cos(alpha)
z = R.cos(phi)
x + y + 2z = 2
so,
R.cos(theta) + R.cos(alpha) + 2R.cos(phi) = 2
if u can integrate the angles, u will get the surface integral..

Answer 10

what would be the interval of R theta alpha and phi?

Answer 11

90 and 0

Answer 12

thx mate