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c-let-vec-f-x-y-z-2xz-3-6y-hat-6x-2yz-hat-3x-2-z-2-y-2-hat-k-be-a-conservative-pa350

c) Let

`vec(F)(x,y,z)=(2xz^(3)+6y)hat(ı)+(6x-2yz)hat(ȷ)+(3x^(2)z^(2)-y^(2))hat(k)`

be a conservative force field. Evaluate the work done,

`\int_C vec(F)*dvec(r)`

through path

`C`

from

`(1,-1,1)`

to

`(2,1,-1)`

. [6 marks]