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Mathematics, 10.11.2020 23:00 fefe57
Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the
card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying
2 cups of coffee, the card had a $45 remaining balance. Write an equation for
A, in terms of x, representing the amount money remaining on the card after
buying x cups of coffee?
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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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Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the
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