A surface that is the part of the sphere of radius , centred at the origin, that is in the first octant () may be parametrised by:

Find the correct parametric representation in polar coordinates,  for the surface , that is, the top half of the cone .

Let be the curve parameterised by , for 2.

Let , where .   

Then the value of line integral

is...

A vector field defined on all of is conservative if (choose all that apply):

Let and let be the curve defined by for

.

Calculate the work done by

Find