Acoustical experts have found that clapping ones hands near the staircases of the Pyramid of Kukulkan at

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Acoustical experts have found that clapping one’s hands near the staircases of the Pyramid of Kukulkan at Chichen Itza results in an echo that sounds like a chirp. The initial frequency of the chirp ƒ depends on the tread length of the stairs T according to the formula

where c is the speed of sound, 340 m/sec. Find the initial frequency and the rate of change of the initial frequency with respect to tread length when the tread is 0.5 m.

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