Mathematics
Mathematics, 25.02.2021 01:00, kingyogii

Sales tax on an item is a percent *

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For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is
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Prove (a) cosh2(x) โˆ’ sinh2(x) = 1 and (b) 1 โˆ’ tanh 2(x) = sech 2(x). solution (a) cosh2(x) โˆ’ sinh2(x) = ex + eโˆ’x 2 2 โˆ’ 2 = e2x + 2 + eโˆ’2x 4 โˆ’ = 4 = . (b) we start with the identity proved in part (a): cosh2(x) โˆ’ sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 โˆ’ sinh2(x) cosh2(x) = 1 or 1 โˆ’ tanh 2(x) = .
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