Question: Problem 2: [10 marks]Verify Stoke's theorem (i.e. calculate the solution both ways and show they areequal) for the following vector field vec(F) and surface S.

Problem 2: [10 marks]Verify Stoke's theorem (i.e. calculate the solution "both ways" and show they areequal) for the following vector field vec(F) and surface S. Sketch the surface as part of yoursolution.vec(F)(x,y,z)=2zhat(i)-3xhat(j)+4yhat(k)with S that portion of the paraboloid:z=16-x2-y2, for z>0Is vec(F) conservative in this region? Is vec(F) required tobe conservative in order to Stoke'stheorem to apply? Explain (just very briefly).

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