Some Coordinate measuring machines have devices that record the temperature on both the CMM and the workpiece and compensate for slight temperature variations.

Which of the following vector fields is conservative?

Match the vector field with the graph below.

S is a paraboloid bounded above by that we parameterize with

Use the Divergence Theorem to convert the flux integral into a triple integral where

Let  . Find a function such that

For which one of the following vector fields does there exist a vector field 

Match each object to one of the following parameterizations: A:

Let  . Find a function such that

Let C be the piecewise smooth closed curve comprising the straight lines from (0, 0, 0) to (4, 1, 3) to (6, 0, 4) to (2, -1, 1) and then back to (0, 0, 0). Evaluate