Consider a particle that moves going from the point (—2, 2) to the point (—2, 2) along the piecewise-linear path C depicted below: W) (‘21′ 7-) This particle is subject to a force field given by me=( 2m—y 2y—l—a:)

Consider a particle that moves going from the point (—2, 2) to the point (—2, 2) along the piecewise-linear path C depicted below: W) (‘21′ 7-) This particle is subject to a force field given by me=( 2m—y 2y—l—a:)
w2+y2’m2+y2 I (a) You can use WolframAlpha to check that the (scalar) curl ofFis 0 on R2 — {0} However, because R2 — {0} is not a very nice set, we can’t guarantee that F is conservative. In fact, show that there exists no scalar function 9 such that F = Vgl (b) Compute the work done by Fto move our particle from (—2, —2) to (—2, 2) along our curve C.

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