Mathematics, 25.02.2021 01:00 lucywood2024
William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?
A. 4
B. 16
C. 24
D. 32
Answers: 1
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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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William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?
A. 4
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