Please only take this question if you can solve it quickly! Please provide a NEAT and CORRECT answer for a BIG LIKE.

Calculus 3:

-Show your work and Provide diagram(s) if needed.

9. (a) (2 points} Determine if the vector eld 15' = {y233,21:y23,33y222) is conservative or not. You must Show your work. (b) (3 points) The vector field F = (2x, 2y, 22) is conservative. Find a potential function and use it to evaluate [, F . dr, where C is the curve 7(t) = (tant, sint, cost) for 0