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The curve C is given by the parameterization ⃗r(t) = <−t , 1 − t^2> for...

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Basic Math

The curve C is given by the parameterization ⃗r(t) = <−t , 1− t^2> for −1 ≤ t ≤ 1.
a) Choose any vector field F⃗ (x, y) = 〈some function , some otherfunction〉 and setup the work integral of F⃗ over C.

b)Choose any vector field G⃗(x,y) which has a potential functionof the form φ(x,y)= x^3 + y^3 + some other stuff and compute thework done by G⃗ over C.

Please use a somewhat basic function (something other than please). For a thumbs up, please show all work andexplain it clearly and write neatly. Thank you

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