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2. (20%) Consider a scalar field S = f(x1,x2,x3) = x1 x2 2 x33 (a) Find the gradient S of the scalar field S (b)

2. (20%) Consider a scalar field S = f(x1,x2,x3) = x1 x2
2 x33
(a) Find the gradient S of the scalar field S
(b) Find the divergence of S, i.e., find (S)
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(20%) Consider a scalar field S=f(x1,x2,x3)=x1x22x33 (a) Find the gradient S of the scalar field S (b) Find the divergence of S, i.e., find (S)

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