Let u = f(x,y), where x = rcosθ and y = rsinθ. Using the chain rules,...

Let u = f(x,y), where x = rcosθ and y = rsinθ. Using the chain rules, carefully calculate the partial derivatives ∂u/ ∂r and ∂u/ ∂θ , and the second partial derivatives ∂2u/ ∂r2 and ∂2u/ ∂θ2 , in terms of r, θ, and the partial derivatives fx, fy, fxx, fxy, fyy.

∂u /∂r =

∂u /∂θ =

∂^2u/ ∂r^2 =

∂^2u ∂θ^2=

Expert Solution

Sol:

Colby Messinger answered 1 year ago

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