b) Show the force field UTM 8 UTM F(r, y, =) = (xy + In(y=)) i+ - + y cos ( 2 2 ) it " - y'sin ( 2z ) ) k is a conservative field and find its potential function. Using this poten- tial function or otherwise, evaluate the work needed to move an object along line segments from point (0, 1, 1) to point (2, 2, 3), then to point (3, 1, 1), using force F. 3 UTM [7 marks