Question

# 1 point) Find the work done by F along different paths between (1,0,1) and (1,1,0). You...

1 point) Find the work done by F along different paths between (1,0,1) and (1,1,0).

You might simplify your computation by writing F=G+H=∇g+H, so that you have a decomposition ofFF into a conservative vector field and a simpler non-conservative vector field.

F=〈e^(yz)+2y, xze^(yz)+zcos(y)−3z, xye^(yz)+sin(y)−2x〉

(a) The path is the straight line path between those two points. (Hint: the answer is not 2, 4, or 0.)
Work is  .

(b) The path consists of the line segment from (1,0,1) to the origin, followed by the line segment from the origin to (1,1,0).
Work is  .

(c) The path consists of three parts: (i) the vertical segment down to (1,0,0), (ii) the horizontal segment to the origin, (iii) the parabolic path y=x^2 from the origin to the final point. (Hint: the answer is not 5/3.)
Work is  .

Please include ALL steps.

This is the THIRD time I am posting this question.

#### Homework Answers

Answer #1

sorry i have mistakenly uploaded answer c before answer b

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