Evaluate the surface integral: s

(x^2z + y^2z) ds
s is the hemisphere
x2 + y2 + z2 = 9, z ≥ 0

Assuming does not include the plane , we can parameterize the region in spherical coordinates using



where and . We then have




Then the surface integral is equivalent to



We have






So the surface integral is equivalent to





where .

200 miles.45 x 3 (charge per day times days)135$205$ - 135$ = 70$0.35x = 70divide both sides by 0.35200