Calculus 4

Let S be the surface given by S = {(z,y,z)|x^2 + y^2 + z^2 = 4, 1

a) Give a parameterization (u,v) for S as well as the bounds for u and v

b) Give the tangent vectors

c) Give an integral in terms od u and v that represents I

d) Evaluate I = deri deri x^2dS/(x^3=2 +y^2+z^2)

Dow BODE-UKS( Mum. 208 (Calculus 4) Final Exam Spring 2020 2 Let W be Do upper hat tal of radus R ) 0 in R', Le the set of points (2, 3.?) such that a' + y' + 2' 0. The boundary Ol consists of the upper hemisphere z? + y? + 23 - R?. Ordtodar ty