Evaluate the surface integral. s x2z + y2z ds s is the hemisphere x2 + y2 + z2 = 9, z ≥ 0

Answer:- In the 3D geometric form of this hemisphere is half a sphere with such a flat superficial exclusively on a single side and a circular bowl just on the second.

Any Earth-drawn circle divides into two halves, identified as called hemispheres.

Four hemispheres were frequently well-thought-out to be north, south, east, and west.

Parameterizing the hemisphere S:

→s(u, v)= (3 cos u sin v, 3 sin u sin v, 3 cos v)

0 <= u < =2 pie and 0<= u <= pie/2

Consequently, the surface integral:  

Calculating the integral:

-> 343 {ru=2x [v= 243 2 Ju=0 Jv=0 cos v sin³ v dv du