Let F with rightwards harpoon with barb upwards on top equals open parentheses 3 x squared plus y to the power of 4 sin open parentheses x close parentheses close parentheses i with hat on top plus open parentheses 4 y cubed cos open parentheses x close parentheses plus z close parentheses j with hat on top minus y k with hat on top. Is the value of the line integral of F along any loop zero

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70.30

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she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

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3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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