Mathematics, 02.12.2020 23:30 patworsley
12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Create a function, P, that gives the amount of money that john still owes Joan after
w weeks.
12 (b) John told Joan that he will have paid her back all of the money, after making
payments for 13 weeks.. Explain why John is incorrect?
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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12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Cr...
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