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Q3. Using index notation, show that for any scalar field (x,t) and vector field u(x,t), the following identities hold: a.) b.) grad (pu) =

Q3. Using index notation, show that for any scalar field (x,t) and vector field u(x,t), the following identities hold: a.) b.) grad (pu) = ogradu + u grado, div (curlu) = 0.

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ANS Given that x t ux t a grad u LHS grad ou 3 Scalar field vector field 3x By Sz J grad ... blur-text-image

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