Question: Let I be an interval and f: I R be continuously differentiable with for all θ I. Prove that the graph r = f(θ) (in

Let I be an interval and f: I †’ R be continuously differentiable with
Let I be an interval and f: I †’ R

for all θ ˆˆ I. Prove that the graph r = f(θ) (in polar coordinates) is a smooth Cl curve in R2.

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