For all smooth polar curves r ftheta 0 le theta le pi2


For all (smooth) polar curves r = f(θ), 0 ≤ θ ≤ π/2, with f(0) = 1 and f(π/2) = 1, and f(θ) ≥ 1 for all 0 ≤ θ ≤ π/2, show that their arc-lengths are greater than or equal to π/2.

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Mathematics: For all smooth polar curves r ftheta 0 le theta le pi2
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