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Mathematics, 01.07.2019 03:40, carriganlee8688
1. the grocery store was selling variety bags of apples. each bag contained x braeburn apples, y granny smith apples, and z honeycrisp apples. zahra bought 2 bags of apples. for each expression, identify whether it can be used to determine the total number of apples zahra bought. explain your answer. (a) 2 + x + y + z (b) 2x + 2y + 2z (c) 2(xyz) (d) x + x + y + y + z + z (e) 2(x + y + z) (f) x + y + z/2
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Prove (a) cosh2(x) ā sinh2(x) = 1 and (b) 1 ā tanh 2(x) = sech 2(x). solution (a) cosh2(x) ā sinh2(x) = ex + eāx 2 2 ā 2 = e2x + 2 + eā2x 4 ā = 4 = . (b) we start with the identity proved in part (a): cosh2(x) ā sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 ā sinh2(x) cosh2(x) = 1 or 1 ā tanh 2(x) = .
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