Question

By making the change of variables x = r cos θ, y =
r sin θ, z = z, in the function f(x, y, z), when it becomes
the function F(r,θ, z), show that in cylindrical polar co-
ordinates
∂F
∂r = cos θ
∂ f
∂x + sin θ
∂ f
∂y
,
∂F
∂θ = −r sin θ
∂ f
∂x + r cos θ
∂ f
∂y
, ∂F
∂z = ∂ f
∂z
.

Answer 1

Answer:

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Step-by-step explanation:

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