Help with parametrization surface integral

∫∫s F dS=?

F(x,y,z) = -yi + xj + 3zk
S is hemisphere z = √(16-x^2-y^2), y≥0, with upward orientation.

what will be the parametrization?

r(phi, theta) = (4 sin phi * cos theta, 4 sin phi * sin theta, 3 cos phi)

or

r(phi, theta) = (4 sin phi * sin theta, 4 sin phi * cos theta, 3 cos phi)

Question

Help with parametrization surface integral

∫∫s F dS=?

F(x,y,z) = -yi + xj + 3zk
S is hemisphere z = √(16-x^2-y^2), y≥0, with upward orientation.

what will be the parametrization?

r(phi, theta) = (4 sin phi * cos theta, 4 sin phi * sin theta, 3 cos phi)

or

r(phi, theta) = (4 sin phi * sin theta, 4 sin phi * cos theta, 3 cos phi)

asnaseer · Answer

anonymous · Answer

hi jessica

anonymous · Answer

hiii sheg

anonymous · Answer

how are u doin buddy?

anonymous · Answer

i felt better... i have a exam tomorrow.. but i dont understand what i have to learn -.-
a bit of a bummer

anonymous · Answer

which paper do u have tomorrow?

anonymous · Answer

i have calculus... about stokes, green, div theorem