Question: (1) (4+4 points) Consider the vector field F . R- R', F(x, y, 2) = (sin(y) + z cos(r), r cos(y) + sin(z), y cos(z)

(1) (4+4 points) Consider the vector field F . R- R',

(1) (4+4 points) Consider the vector field F . R- R', F(x, y, 2) = (sin(y) + z cos(r), r cos(y) + sin(z), y cos(z) + sin(x)). (a) Compute curl( F) (r, y, 2). (b) Is F a gradient field? If so, find a potential f of F

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