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Question 2 ( a ) The force of an object is given by: vec ( F ) = ( x 2 y z ) i

Question 2
(a) The force of an object is given by:
vec(F)=(x2yz)i+(13x3z)j+(13x3y)k
Evidence that the vector vec(F) is conservative. Then, determine the work done by the following field, if the force is moving along any smooth curve joining A(-1,3,9) and B(1,6,-4).
(10 marks)
(b) Calculate the work done by the following vector which travels from (0,0) to (1,0), then from (1,0) to (1,1), followed by (1,1) to (0,1), before going back to (0,0) from (0,1). All the travel paths are straight lines. Solve the problem using Green's theorem.
vec(F)=(x2+y2)i+(13x3+y)j
(10 marks)
Question 2 ( a ) The force of an object is given

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