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(note that the angular velocity of the minute hand is 2π/(60×60) radians per second). Differentiate:
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Set to to 0:
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This equation can’t be solved analytically; using Wolfram|Alpha, I get t ≈ 493 seconds = 8 minutes 13 seconds, i.e. the insect is at its highest position at 12:08:13.
Check that d²h/dt² < 0 so that this is indeed a maximum value.
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