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Mathematics, 21.06.2019 19:50
Prove (a) cosh2(x) โ sinh2(x) = 1 and (b) 1 โ tanh 2(x) = sech 2(x). solution (a) cosh2(x) โ sinh2(x) = ex + eโx 2 2 โ 2 = e2x + 2 + eโ2x 4 โ = 4 = . (b) we start with the identity proved in part (a): cosh2(x) โ sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 โ sinh2(x) cosh2(x) = 1 or 1 โ tanh 2(x) = .
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Mathematics, 21.06.2019 21:00
Evaluate 5 + 6 ยท 2 โ 8 รท 4 + 7 using the correct order of operations. a. 22 b. 11 c. 27 d. 5
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Mathematics, 21.06.2019 22:50
Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?
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