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no justification necessary (1) Consider the following functions on R2: (i) fi ( x, V) = x, (ii) f2 (x, y) = -x, (iii) f3

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(1) Consider the following functions on R2: (i) fi ( x, V) = x, (ii) f2 (x, y) = -x, (iii) f3 (x, y) = y - 1, (iv) f4 (x, y) = -y - 1, (v) fs(x, y) = 0, (vi) fo (x, y) = 1, (vii) f7(x, y) = -1. (a) Which of the functions best represent the divergence and the (scalar) curl of the vector field F : R- - R depicted below? Justify your answer. 10 10 -10 10 (b) Which of the functions best represent the divergence and the (scalar) curl of the vector field F : R2 - R2 depicted below? Justify your answer. 10 -5 -10 -10

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