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Mathematics, 15.04.2020 03:28 Miznatnasah
ThreeThree friends board an airliner just before departure time. There are only 1010 seats left, 44 of which are aisle seats. How many ways can the 33 people arrange themselves in available seats so that at least one of them sits on the aisle? The 3 people can arrange themselves in how many ways.
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Mathematics, 21.06.2019 19:50
Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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ThreeThree friends board an airliner just before departure time. There are only 1010 seats left, 44...
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