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Question

Let z = f(x,y) have continuous second-order partial derivatives, if x = rcosθ and y = rsinθ

(a) ﬁnd ∂rz and ∂θz.

(b) show that (∂xz)^2 + (∂yz)^2 = (∂rz)^2 + 1/r^2 (∂θz)^2.

Tagged in

Math

Calculus

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