Mathematics, 13.04.2021 17:50 LouieHBK
Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrived on each of the days were: 12, 19, 17, 26, 26. What is the mean number of people who were at the pool?
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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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Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrive...
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