Question: Consider the following functions on 2 : (i) 1 =(,)=x, (ii) 2 (,)= , (iii) 3 (,)=1, (iv) 4 (,)=1 (v) 5 (,)=0, (vi) 6

Consider the following functions on 2: (i)1 =(,)=x, (ii)2(,)= , (iii)3(,)=1, (iv)4(,)=1

(v)5(,)=0, (vi)6(,)=1, (vii)7(,)=1.

a) Which of the functions best represent the divergence and the (scalar) curl of the vector field :22depicted below? Justify your answer.

Consider the following functions on 2: (i)1 =(,)=x, (ii)2(,)= , (iii)3(,)=1, (iv)4(,)=1(v)5(,)=0, (vi)6(,)=1, (vii)7(,)=1. a) Which of the functions best represent the divergence

10 5 0 -5 10 -10 -5 0 5 1010 5 0 -5 -10 -10 -5 0 5 10

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