Problem 1
Let be the part of the sphere where , oriented away from the origin. Compute .
Problem 2
Let be the part of the cone lying above the -plane, oriented in the downward direction. Let be the vector field . Compute the flux integral .
Problem 3
Let be the part of the hyperboloid which lies between the and planes. Orient with outward pointing normal vector.
(a). Find a Parameterization of
(b). Let . Compute the Flux Integral
Problem 4
Let be the surface obtained by rotating the curve around , about the y-axis, oriented away from the y-axis.
(a). Find a Parameterization of
(b). Compute the Flux Integral where
FIXME ^ this is the incorrect answer