Mathematics, 25.06.2021 03:30 bdjxoanbcisnkz
A student doing a chemistry experiment has a beaker that contains 186 ml (milliliters) of an alcohol and water
solution. The lab directions indicate that there is 5.2 times as much water as alcohol in the solution. How
many milliliters of alcohol are in the solution? How many milliliters of water are in the solution?
Answers: 3
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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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A student doing a chemistry experiment has a beaker that contains 186 ml (milliliters) of an alcohol...
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