Question: Let u(r, ) = r 2 cos 2 . Use Eq. (8) to compute u 2 . Then compute u 2 directly by observing that

Let u(r, θ) = rcosθ. Use Eq. (8) to compute ΙΙ∇uΙΙ2. Then compute ΙΙ∇uΙΙdirectly by observing that u(x, y) = x2, and compare.

I + "= "All|

I + "= "All|

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By Eq 8 we have We compute the partial derivatives of ur 0 r cos 0 2r cos 0 Substituting in Eq 8 ... View full answer

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